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Finding the Fourth Proportional to 417,312,752,951.40, 625,969,129,427.06 and 417,312,752,951.40

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Solution

The fourth proportional to 417,312,752,951.40, 625,969,129,427.06 and 417,312,752,951.40 is: 625,969,129,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,752,951.40 : 625,969,129,427.06 = 417,312,752,951.40 : x
  2. Step 2: Convert to fraction form
    417,312,752,951.40/625,969,129,427.06 = 417,312,752,951.40/x
  3. Step 3: Cross multiply
    417,312,752,951.40x = 625,969,129,427.06 × 417,312,752,951.40
  4. Step 4: Simplify right side
    417,312,752,951.40x = 261,224,900,663,797,656,584,192
  5. Step 5: Solve for x
    x = 261,224,900,663,797,656,584,192/417,312,752,951.40
  6. Step 6: Final answer
    x = 625,969,129,427.06

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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.