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Finding the Fourth Proportional to 402,438,416.05, 603,657,624.08 and 402,438,416.05

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Solution

The fourth proportional to 402,438,416.05, 603,657,624.08 and 402,438,416.05 is: 603,657,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,438,416.05 : 603,657,624.08 = 402,438,416.05 : x
  2. Step 2: Convert to fraction form
    402,438,416.05/603,657,624.08 = 402,438,416.05/x
  3. Step 3: Cross multiply
    402,438,416.05x = 603,657,624.08 × 402,438,416.05
  4. Step 4: Simplify right side
    402,438,416.05x = 242,935,018,069,249,376
  5. Step 5: Solve for x
    x = 242,935,018,069,249,376/402,438,416.05
  6. Step 6: Final answer
    x = 603,657,624.08

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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.