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Finding the Fourth Proportional to 145,156,967.30, 217,735,450.95 and 145,156,967.30

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Solution

The fourth proportional to 145,156,967.30, 217,735,450.95 and 145,156,967.30 is: 217,735,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,156,967.30 : 217,735,450.95 = 145,156,967.30 : x
  2. Step 2: Convert to fraction form
    145,156,967.30/217,735,450.95 = 145,156,967.30/x
  3. Step 3: Cross multiply
    145,156,967.30x = 217,735,450.95 × 145,156,967.30
  4. Step 4: Simplify right side
    145,156,967.30x = 31,605,817,733,599,904
  5. Step 5: Solve for x
    x = 31,605,817,733,599,904/145,156,967.30
  6. Step 6: Final answer
    x = 217,735,450.95

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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.