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Finding the Fourth Proportional to 865,805,241.60, 1,298,707,862.40 and 804,583,238.40

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Solution

The fourth proportional to 865,805,241.60, 1,298,707,862.40 and 804,583,238.40 is: 1,206,874,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,805,241.60 : 1,298,707,862.40 = 804,583,238.40 : x
  2. Step 2: Convert to fraction form
    865,805,241.60/1,298,707,862.40 = 804,583,238.40/x
  3. Step 3: Cross multiply
    865,805,241.60x = 1,298,707,862.40 × 804,583,238.40
  4. Step 4: Simplify right side
    865,805,241.60x = 1,044,918,577,665,333,632
  5. Step 5: Solve for x
    x = 1,044,918,577,665,333,632/865,805,241.60
  6. Step 6: Final answer
    x = 1,206,874,857.60

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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.