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Finding the Fourth Proportional to 472,271,472,701.70, 708,407,209,052.55 and 472,271,472,701.70

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Solution

The fourth proportional to 472,271,472,701.70, 708,407,209,052.55 and 472,271,472,701.70 is: 708,407,209,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,271,472,701.70 : 708,407,209,052.55 = 472,271,472,701.70 : x
  2. Step 2: Convert to fraction form
    472,271,472,701.70/708,407,209,052.55 = 472,271,472,701.70/x
  3. Step 3: Cross multiply
    472,271,472,701.70x = 708,407,209,052.55 × 472,271,472,701.70
  4. Step 4: Simplify right side
    472,271,472,701.70x = 334,560,515,891,748,912,758,784
  5. Step 5: Solve for x
    x = 334,560,515,891,748,912,758,784/472,271,472,701.70
  6. Step 6: Final answer
    x = 708,407,209,052.55

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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.