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Finding the Fourth Proportional to 575,206,539.40, 862,809,809.10 and 575,206,539.40

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Solution

The fourth proportional to 575,206,539.40, 862,809,809.10 and 575,206,539.40 is: 862,809,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,206,539.40 : 862,809,809.10 = 575,206,539.40 : x
  2. Step 2: Convert to fraction form
    575,206,539.40/862,809,809.10 = 575,206,539.40/x
  3. Step 3: Cross multiply
    575,206,539.40x = 862,809,809.10 × 575,206,539.40
  4. Step 4: Simplify right side
    575,206,539.40x = 496,293,844,452,785,600
  5. Step 5: Solve for x
    x = 496,293,844,452,785,600/575,206,539.40
  6. Step 6: Final answer
    x = 862,809,809.10

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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.