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Finding the Fourth Proportional to 993,888,000.20, 1,490,832,000.30 and 266,950,195.40

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Solution

The fourth proportional to 993,888,000.20, 1,490,832,000.30 and 266,950,195.40 is: 400,425,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,888,000.20 : 1,490,832,000.30 = 266,950,195.40 : x
  2. Step 2: Convert to fraction form
    993,888,000.20/1,490,832,000.30 = 266,950,195.40/x
  3. Step 3: Cross multiply
    993,888,000.20x = 1,490,832,000.30 × 266,950,195.40
  4. Step 4: Simplify right side
    993,888,000.20x = 397,977,893,788,657,856
  5. Step 5: Solve for x
    x = 397,977,893,788,657,856/993,888,000.20
  6. Step 6: Final answer
    x = 400,425,293.10

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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.