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Finding the Fourth Proportional to 411,292,398.89, 616,916,870.13 and 134,907,206.61

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Solution

The fourth proportional to 411,292,398.89, 616,916,870.13 and 134,907,206.61 is: 202,353,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,292,398.89 : 616,916,870.13 = 134,907,206.61 : x
  2. Step 2: Convert to fraction form
    411,292,398.89/616,916,870.13 = 134,907,206.61/x
  3. Step 3: Cross multiply
    411,292,398.89x = 616,916,870.13 × 134,907,206.61
  4. Step 4: Simplify right side
    411,292,398.89x = 83,226,531,659,822,448
  5. Step 5: Solve for x
    x = 83,226,531,659,822,448/411,292,398.89
  6. Step 6: Final answer
    x = 202,353,682.89

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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.