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Finding the Fourth Proportional to 417,312,752,935.90, 625,969,129,403.80 and 417,312,752,935.90

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Solution

The fourth proportional to 417,312,752,935.90, 625,969,129,403.80 and 417,312,752,935.90 is: 625,969,129,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,752,935.90 : 625,969,129,403.80 = 417,312,752,935.90 : x
  2. Step 2: Convert to fraction form
    417,312,752,935.90/625,969,129,403.80 = 417,312,752,935.90/x
  3. Step 3: Cross multiply
    417,312,752,935.90x = 625,969,129,403.80 × 417,312,752,935.90
  4. Step 4: Simplify right side
    417,312,752,935.90x = 261,224,900,644,388,430,938,112
  5. Step 5: Solve for x
    x = 261,224,900,644,388,430,938,112/417,312,752,935.90
  6. Step 6: Final answer
    x = 625,969,129,403.80

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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.