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Finding the Fourth Proportional to 407,112,176.70, 610,668,265.05 and 407,112,176.70

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Solution

The fourth proportional to 407,112,176.70, 610,668,265.05 and 407,112,176.70 is: 610,668,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112,176.70 : 610,668,265.05 = 407,112,176.70 : x
  2. Step 2: Convert to fraction form
    407,112,176.70/610,668,265.05 = 407,112,176.70/x
  3. Step 3: Cross multiply
    407,112,176.70x = 610,668,265.05 × 407,112,176.70
  4. Step 4: Simplify right side
    407,112,176.70x = 248,610,486,626,118,016
  5. Step 5: Solve for x
    x = 248,610,486,626,118,016/407,112,176.70
  6. Step 6: Final answer
    x = 610,668,265.05

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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.