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Finding the Fourth Proportional to 575,728,269.80, 863,592,404.70 and 472,416,139.40

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Solution

The fourth proportional to 575,728,269.80, 863,592,404.70 and 472,416,139.40 is: 708,624,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,728,269.80 : 863,592,404.70 = 472,416,139.40 : x
  2. Step 2: Convert to fraction form
    575,728,269.80/863,592,404.70 = 472,416,139.40/x
  3. Step 3: Cross multiply
    575,728,269.80x = 863,592,404.70 × 472,416,139.40
  4. Step 4: Simplify right side
    575,728,269.80x = 407,974,989,843,536,448
  5. Step 5: Solve for x
    x = 407,974,989,843,536,448/575,728,269.80
  6. Step 6: Final answer
    x = 708,624,209.10

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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.