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Finding the Fourth Proportional to 472,655,435.40, 707,707,694.70 and 472,655,435.40

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Solution

The fourth proportional to 472,655,435.40, 707,707,694.70 and 472,655,435.40 is: 707,707,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,655,435.40 : 707,707,694.70 = 472,655,435.40 : x
  2. Step 2: Convert to fraction form
    472,655,435.40/707,707,694.70 = 472,655,435.40/x
  3. Step 3: Cross multiply
    472,655,435.40x = 707,707,694.70 × 472,655,435.40
  4. Step 4: Simplify right side
    472,655,435.40x = 334,501,888,574,358,784
  5. Step 5: Solve for x
    x = 334,501,888,574,358,784/472,655,435.40
  6. Step 6: Final answer
    x = 707,707,694.70

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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.