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Finding the Fourth Proportional to 407,497,788,008.70, 611,246,682,013.05 and 407,497,788,008.70

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Solution

The fourth proportional to 407,497,788,008.70, 611,246,682,013.05 and 407,497,788,008.70 is: 611,246,682,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,497,788,008.70 : 611,246,682,013.05 = 407,497,788,008.70 : x
  2. Step 2: Convert to fraction form
    407,497,788,008.70/611,246,682,013.05 = 407,497,788,008.70/x
  3. Step 3: Cross multiply
    407,497,788,008.70x = 611,246,682,013.05 × 407,497,788,008.70
  4. Step 4: Simplify right side
    407,497,788,008.70x = 249,081,670,847,975,126,990,848
  5. Step 5: Solve for x
    x = 249,081,670,847,975,126,990,848/407,497,788,008.70
  6. Step 6: Final answer
    x = 611,246,682,013.05

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.