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Finding the Fourth Proportional to 853,092,769.67, 1,177,272,375.53 and 476,755,638.55

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Solution

The fourth proportional to 853,092,769.67, 1,177,272,375.53 and 476,755,638.55 is: 657,925,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,092,769.67 : 1,177,272,375.53 = 476,755,638.55 : x
  2. Step 2: Convert to fraction form
    853,092,769.67/1,177,272,375.53 = 476,755,638.55/x
  3. Step 3: Cross multiply
    853,092,769.67x = 1,177,272,375.53 × 476,755,638.55
  4. Step 4: Simplify right side
    853,092,769.67x = 561,271,243,139,517,632
  5. Step 5: Solve for x
    x = 561,271,243,139,517,632/853,092,769.67
  6. Step 6: Final answer
    x = 657,925,214.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.