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Finding the Fourth Proportional to 7,750,728,045.68, 11,626,092,068.51 and 7,750,728,045.68

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Solution

The fourth proportional to 7,750,728,045.68, 11,626,092,068.51 and 7,750,728,045.68 is: 11,626,092,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,728,045.68 : 11,626,092,068.51 = 7,750,728,045.68 : x
  2. Step 2: Convert to fraction form
    7,750,728,045.68/11,626,092,068.51 = 7,750,728,045.68/x
  3. Step 3: Cross multiply
    7,750,728,045.68x = 11,626,092,068.51 × 7,750,728,045.68
  4. Step 4: Simplify right side
    7,750,728,045.68x = 90,110,677,857,023,393,792
  5. Step 5: Solve for x
    x = 90,110,677,857,023,393,792/7,750,728,045.68
  6. Step 6: Final answer
    x = 11,626,092,068.51

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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.