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Finding the Fourth Proportional to 825,228,254.70, 1,237,842,382.05 and 825,228,254.70

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Solution

The fourth proportional to 825,228,254.70, 1,237,842,382.05 and 825,228,254.70 is: 1,237,842,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,228,254.70 : 1,237,842,382.05 = 825,228,254.70 : x
  2. Step 2: Convert to fraction form
    825,228,254.70/1,237,842,382.05 = 825,228,254.70/x
  3. Step 3: Cross multiply
    825,228,254.70x = 1,237,842,382.05 × 825,228,254.70
  4. Step 4: Simplify right side
    825,228,254.70x = 1,021,502,508,532,812,160
  5. Step 5: Solve for x
    x = 1,021,502,508,532,812,160/825,228,254.70
  6. Step 6: Final answer
    x = 1,237,842,382.05

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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.