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Finding the Fourth Proportional to 408,068,431.30, 612,102,646.95 and 408,068,431.30

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Solution

The fourth proportional to 408,068,431.30, 612,102,646.95 and 408,068,431.30 is: 612,102,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,068,431.30 : 612,102,646.95 = 408,068,431.30 : x
  2. Step 2: Convert to fraction form
    408,068,431.30/612,102,646.95 = 408,068,431.30/x
  3. Step 3: Cross multiply
    408,068,431.30x = 612,102,646.95 × 408,068,431.30
  4. Step 4: Simplify right side
    408,068,431.30x = 249,779,766,935,464,256
  5. Step 5: Solve for x
    x = 249,779,766,935,464,256/408,068,431.30
  6. Step 6: Final answer
    x = 612,102,646.95

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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.