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Finding the Fourth Proportional to 34,537,154,200.80, 51,805,731,301.20 and 34,537,154,200.80

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Solution

The fourth proportional to 34,537,154,200.80, 51,805,731,301.20 and 34,537,154,200.80 is: 51,805,731,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537,154,200.80 : 51,805,731,301.20 = 34,537,154,200.80 : x
  2. Step 2: Convert to fraction form
    34,537,154,200.80/51,805,731,301.20 = 34,537,154,200.80/x
  3. Step 3: Cross multiply
    34,537,154,200.80x = 51,805,731,301.20 × 34,537,154,200.80
  4. Step 4: Simplify right side
    34,537,154,200.80x = 1,789,222,530,434,755,723,264
  5. Step 5: Solve for x
    x = 1,789,222,530,434,755,723,264/34,537,154,200.80
  6. Step 6: Final answer
    x = 51,805,731,301.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.