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Finding the Fourth Proportional to 575,728,621.80, 863,592,932.70 and 472,416,491.40

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Solution

The fourth proportional to 575,728,621.80, 863,592,932.70 and 472,416,491.40 is: 708,624,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,728,621.80 : 863,592,932.70 = 472,416,491.40 : x
  2. Step 2: Convert to fraction form
    575,728,621.80/863,592,932.70 = 472,416,491.40/x
  3. Step 3: Cross multiply
    575,728,621.80x = 863,592,932.70 × 472,416,491.40
  4. Step 4: Simplify right side
    575,728,621.80x = 407,975,543,263,970,304
  5. Step 5: Solve for x
    x = 407,975,543,263,970,304/575,728,621.80
  6. Step 6: Final answer
    x = 708,624,737.10

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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.