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Finding the Fourth Proportional to 417,312,752,972.40, 625,969,129,458.60 and 417,312,752,972.40

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Solution

The fourth proportional to 417,312,752,972.40, 625,969,129,458.60 and 417,312,752,972.40 is: 625,969,129,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,752,972.40 : 625,969,129,458.60 = 417,312,752,972.40 : x
  2. Step 2: Convert to fraction form
    417,312,752,972.40/625,969,129,458.60 = 417,312,752,972.40/x
  3. Step 3: Cross multiply
    417,312,752,972.40x = 625,969,129,458.60 × 417,312,752,972.40
  4. Step 4: Simplify right side
    417,312,752,972.40x = 261,224,900,690,105,035,915,264
  5. Step 5: Solve for x
    x = 261,224,900,690,105,035,915,264/417,312,752,972.40
  6. Step 6: Final answer
    x = 625,969,129,458.60

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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.