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Finding the Fourth Proportional to 59,797,602,906.30, 89,696,404,359.45 and 59,797,602,906.30

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Solution

The fourth proportional to 59,797,602,906.30, 89,696,404,359.45 and 59,797,602,906.30 is: 89,696,404,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,797,602,906.30 : 89,696,404,359.45 = 59,797,602,906.30 : x
  2. Step 2: Convert to fraction form
    59,797,602,906.30/89,696,404,359.45 = 59,797,602,906.30/x
  3. Step 3: Cross multiply
    59,797,602,906.30x = 89,696,404,359.45 × 59,797,602,906.30
  4. Step 4: Simplify right side
    59,797,602,906.30x = 5,363,629,970,009,306,955,776
  5. Step 5: Solve for x
    x = 5,363,629,970,009,306,955,776/59,797,602,906.30
  6. Step 6: Final answer
    x = 89,696,404,359.45

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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.