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Finding the Fourth Proportional to 669,137,728.60, 1,003,316,869.50 and 259,715,582.20

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Solution

The fourth proportional to 669,137,728.60, 1,003,316,869.50 and 259,715,582.20 is: 389,422,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,137,728.60 : 1,003,316,869.50 = 259,715,582.20 : x
  2. Step 2: Convert to fraction form
    669,137,728.60/1,003,316,869.50 = 259,715,582.20/x
  3. Step 3: Cross multiply
    669,137,728.60x = 1,003,316,869.50 × 259,715,582.20
  4. Step 4: Simplify right side
    669,137,728.60x = 260,577,024,893,273,920
  5. Step 5: Solve for x
    x = 260,577,024,893,273,920/669,137,728.60
  6. Step 6: Final answer
    x = 389,422,108.12

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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.