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Finding the Fourth Proportional to 866,604,366.49, 1,195,913,416.92 and 470,127,431.21

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Solution

The fourth proportional to 866,604,366.49, 1,195,913,416.92 and 470,127,431.21 is: 648,775,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,604,366.49 : 1,195,913,416.92 = 470,127,431.21 : x
  2. Step 2: Convert to fraction form
    866,604,366.49/1,195,913,416.92 = 470,127,431.21/x
  3. Step 3: Cross multiply
    866,604,366.49x = 1,195,913,416.92 × 470,127,431.21
  4. Step 4: Simplify right side
    866,604,366.49x = 562,231,702,647,796,096
  5. Step 5: Solve for x
    x = 562,231,702,647,796,096/866,604,366.49
  6. Step 6: Final answer
    x = 648,775,524.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.