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Finding the Fourth Proportional to 398,662,463.40, 597,993,695.10 and 291,167,039.40

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Solution

The fourth proportional to 398,662,463.40, 597,993,695.10 and 291,167,039.40 is: 436,750,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,662,463.40 : 597,993,695.10 = 291,167,039.40 : x
  2. Step 2: Convert to fraction form
    398,662,463.40/597,993,695.10 = 291,167,039.40/x
  3. Step 3: Cross multiply
    398,662,463.40x = 597,993,695.10 × 291,167,039.40
  4. Step 4: Simplify right side
    398,662,463.40x = 174,116,053,782,133,280
  5. Step 5: Solve for x
    x = 174,116,053,782,133,280/398,662,463.40
  6. Step 6: Final answer
    x = 436,750,559.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.