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Finding the Fourth Proportional to 474,983,998.90, 712,475,998.35 and 474,983,998.90

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Solution

The fourth proportional to 474,983,998.90, 712,475,998.35 and 474,983,998.90 is: 712,475,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,983,998.90 : 712,475,998.35 = 474,983,998.90 : x
  2. Step 2: Convert to fraction form
    474,983,998.90/712,475,998.35 = 474,983,998.90/x
  3. Step 3: Cross multiply
    474,983,998.90x = 712,475,998.35 × 474,983,998.90
  4. Step 4: Simplify right side
    474,983,998.90x = 338,414,698,816,552,768
  5. Step 5: Solve for x
    x = 338,414,698,816,552,768/474,983,998.90
  6. Step 6: Final answer
    x = 712,475,998.35

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1.5x scale

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.