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Finding the Fourth Proportional to 478,903,808.70, 718,355,713.05 and 478,903,808.70

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Solution

The fourth proportional to 478,903,808.70, 718,355,713.05 and 478,903,808.70 is: 718,355,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,903,808.70 : 718,355,713.05 = 478,903,808.70 : x
  2. Step 2: Convert to fraction form
    478,903,808.70/718,355,713.05 = 478,903,808.70/x
  3. Step 3: Cross multiply
    478,903,808.70x = 718,355,713.05 × 478,903,808.70
  4. Step 4: Simplify right side
    478,903,808.70x = 344,023,286,981,049,280
  5. Step 5: Solve for x
    x = 344,023,286,981,049,280/478,903,808.70
  6. Step 6: Final answer
    x = 718,355,713.05

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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.