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Finding the Fourth Proportional to 385,406,723.50, 578,223,649.41 and 155,257,375.66

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Solution

The fourth proportional to 385,406,723.50, 578,223,649.41 and 155,257,375.66 is: 232,931,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,406,723.50 : 578,223,649.41 = 155,257,375.66 : x
  2. Step 2: Convert to fraction form
    385,406,723.50/578,223,649.41 = 155,257,375.66/x
  3. Step 3: Cross multiply
    385,406,723.50x = 578,223,649.41 × 155,257,375.66
  4. Step 4: Simplify right side
    385,406,723.50x = 89,773,486,351,944,496
  5. Step 5: Solve for x
    x = 89,773,486,351,944,496/385,406,723.50
  6. Step 6: Final answer
    x = 232,931,811.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.