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Finding the Fourth Proportional to 993,834,666.83, 1,490,590,298.23 and 469,202,754.65

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Solution

The fourth proportional to 993,834,666.83, 1,490,590,298.23 and 469,202,754.65 is: 703,727,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,834,666.83 : 1,490,590,298.23 = 469,202,754.65 : x
  2. Step 2: Convert to fraction form
    993,834,666.83/1,490,590,298.23 = 469,202,754.65/x
  3. Step 3: Cross multiply
    993,834,666.83x = 1,490,590,298.23 × 469,202,754.65
  4. Step 4: Simplify right side
    993,834,666.83x = 699,389,073,975,454,976
  5. Step 5: Solve for x
    x = 699,389,073,975,454,976/993,834,666.83
  6. Step 6: Final answer
    x = 703,727,790.26

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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.