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Finding the Fourth Proportional to 5,108,292,042.30, 7,662,438,063.45 and 5,108,292,042.30

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Solution

The fourth proportional to 5,108,292,042.30, 7,662,438,063.45 and 5,108,292,042.30 is: 7,662,438,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,292,042.30 : 7,662,438,063.45 = 5,108,292,042.30 : x
  2. Step 2: Convert to fraction form
    5,108,292,042.30/7,662,438,063.45 = 5,108,292,042.30/x
  3. Step 3: Cross multiply
    5,108,292,042.30x = 7,662,438,063.45 × 5,108,292,042.30
  4. Step 4: Simplify right side
    5,108,292,042.30x = 39,141,971,384,138,260,480
  5. Step 5: Solve for x
    x = 39,141,971,384,138,260,480/5,108,292,042.30
  6. Step 6: Final answer
    x = 7,662,438,063.45

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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.