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Finding the Fourth Proportional to 420,472,005.40, 630,708,008.10 and 420,472,005.40

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Solution

The fourth proportional to 420,472,005.40, 630,708,008.10 and 420,472,005.40 is: 630,708,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,472,005.40 : 630,708,008.10 = 420,472,005.40 : x
  2. Step 2: Convert to fraction form
    420,472,005.40/630,708,008.10 = 420,472,005.40/x
  3. Step 3: Cross multiply
    420,472,005.40x = 630,708,008.10 × 420,472,005.40
  4. Step 4: Simplify right side
    420,472,005.40x = 265,195,060,987,646,432
  5. Step 5: Solve for x
    x = 265,195,060,987,646,432/420,472,005.40
  6. Step 6: Final answer
    x = 630,708,008.10

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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.