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Finding the Fourth Proportional to 548,257,672.80, 822,386,509.20 and 524,071,202.40

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Solution

The fourth proportional to 548,257,672.80, 822,386,509.20 and 524,071,202.40 is: 786,106,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,257,672.80 : 822,386,509.20 = 524,071,202.40 : x
  2. Step 2: Convert to fraction form
    548,257,672.80/822,386,509.20 = 524,071,202.40/x
  3. Step 3: Cross multiply
    548,257,672.80x = 822,386,509.20 × 524,071,202.40
  4. Step 4: Simplify right side
    548,257,672.80x = 430,989,086,713,982,656
  5. Step 5: Solve for x
    x = 430,989,086,713,982,656/548,257,672.80
  6. Step 6: Final answer
    x = 786,106,803.60

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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.