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Finding the Fourth Proportional to 473,282,023.80, 708,579,342.90 and 473,282,023.80

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Solution

The fourth proportional to 473,282,023.80, 708,579,342.90 and 473,282,023.80 is: 708,579,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,282,023.80 : 708,579,342.90 = 473,282,023.80 : x
  2. Step 2: Convert to fraction form
    473,282,023.80/708,579,342.90 = 473,282,023.80/x
  3. Step 3: Cross multiply
    473,282,023.80x = 708,579,342.90 × 473,282,023.80
  4. Step 4: Simplify right side
    473,282,023.80x = 335,357,865,430,586,176
  5. Step 5: Solve for x
    x = 335,357,865,430,586,176/473,282,023.80
  6. Step 6: Final answer
    x = 708,579,342.90

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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.