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Finding the Fourth Proportional to 42,122,301.40, 59,098,767.80 and 42,122,301.40

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Solution

The fourth proportional to 42,122,301.40, 59,098,767.80 and 42,122,301.40 is: 59,098,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,122,301.40 : 59,098,767.80 = 42,122,301.40 : x
  2. Step 2: Convert to fraction form
    42,122,301.40/59,098,767.80 = 42,122,301.40/x
  3. Step 3: Cross multiply
    42,122,301.40x = 59,098,767.80 × 42,122,301.40
  4. Step 4: Simplify right side
    42,122,301.40x = 2,489,376,109,640,214.50
  5. Step 5: Solve for x
    x = 2,489,376,109,640,214.50/42,122,301.40
  6. Step 6: Final answer
    x = 59,098,767.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.