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Finding the Fourth Proportional to 71,290,368,001.30, 106,935,552,001.95 and 71,290,368,001.30

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Solution

The fourth proportional to 71,290,368,001.30, 106,935,552,001.95 and 71,290,368,001.30 is: 106,935,552,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290,368,001.30 : 106,935,552,001.95 = 71,290,368,001.30 : x
  2. Step 2: Convert to fraction form
    71,290,368,001.30/106,935,552,001.95 = 71,290,368,001.30/x
  3. Step 3: Cross multiply
    71,290,368,001.30x = 106,935,552,001.95 × 71,290,368,001.30
  4. Step 4: Simplify right side
    71,290,368,001.30x = 7,623,474,854,641,168,023,552
  5. Step 5: Solve for x
    x = 7,623,474,854,641,168,023,552/71,290,368,001.30
  6. Step 6: Final answer
    x = 106,935,552,001.95

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1.5x scale

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.