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Finding the Fourth Proportional to 498,562,683.24, 747,843,022.08 and 468,223,574.88

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Solution

The fourth proportional to 498,562,683.24, 747,843,022.08 and 468,223,574.88 is: 702,334,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,562,683.24 : 747,843,022.08 = 468,223,574.88 : x
  2. Step 2: Convert to fraction form
    498,562,683.24/747,843,022.08 = 468,223,574.88/x
  3. Step 3: Cross multiply
    498,562,683.24x = 747,843,022.08 × 468,223,574.88
  4. Step 4: Simplify right side
    498,562,683.24x = 350,157,733,247,360,384
  5. Step 5: Solve for x
    x = 350,157,733,247,360,384/498,562,683.24
  6. Step 6: Final answer
    x = 702,334,420.56

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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.