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Finding the Fourth Proportional to 617,920,473.40, 867,507,309.80 and 617,920,473.40

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Solution

The fourth proportional to 617,920,473.40, 867,507,309.80 and 617,920,473.40 is: 867,507,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,920,473.40 : 867,507,309.80 = 617,920,473.40 : x
  2. Step 2: Convert to fraction form
    617,920,473.40/867,507,309.80 = 617,920,473.40/x
  3. Step 3: Cross multiply
    617,920,473.40x = 867,507,309.80 × 617,920,473.40
  4. Step 4: Simplify right side
    617,920,473.40x = 536,050,527,549,576,384
  5. Step 5: Solve for x
    x = 536,050,527,549,576,384/617,920,473.40
  6. Step 6: Final answer
    x = 867,507,309.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.