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Finding the Fourth Proportional to 472,392,001.05, 708,588,001.58 and 472,392,001.05

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Solution

The fourth proportional to 472,392,001.05, 708,588,001.58 and 472,392,001.05 is: 708,588,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,001.05 : 708,588,001.58 = 472,392,001.05 : x
  2. Step 2: Convert to fraction form
    472,392,001.05/708,588,001.58 = 472,392,001.05/x
  3. Step 3: Cross multiply
    472,392,001.05x = 708,588,001.58 × 472,392,001.05
  4. Step 4: Simplify right side
    472,392,001.05x = 334,731,303,984,034,816
  5. Step 5: Solve for x
    x = 334,731,303,984,034,816/472,392,001.05
  6. Step 6: Final answer
    x = 708,588,001.58

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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.