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Finding the Fourth Proportional to 417,312,553,965.40, 625,968,830,948.10 and 417,312,553,965.40

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Solution

The fourth proportional to 417,312,553,965.40, 625,968,830,948.10 and 417,312,553,965.40 is: 625,968,830,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,553,965.40 : 625,968,830,948.10 = 417,312,553,965.40 : x
  2. Step 2: Convert to fraction form
    417,312,553,965.40/625,968,830,948.10 = 417,312,553,965.40/x
  3. Step 3: Cross multiply
    417,312,553,965.40x = 625,968,830,948.10 × 417,312,553,965.40
  4. Step 4: Simplify right side
    417,312,553,965.40x = 261,224,651,545,687,349,002,240
  5. Step 5: Solve for x
    x = 261,224,651,545,687,349,002,240/417,312,553,965.40
  6. Step 6: Final answer
    x = 625,968,830,948.10

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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.