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Finding the Fourth Proportional to 314,021,818.80, 471,032,728.20 and 314,021,818.80

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Solution

The fourth proportional to 314,021,818.80, 471,032,728.20 and 314,021,818.80 is: 471,032,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,021,818.80 : 471,032,728.20 = 314,021,818.80 : x
  2. Step 2: Convert to fraction form
    314,021,818.80/471,032,728.20 = 314,021,818.80/x
  3. Step 3: Cross multiply
    314,021,818.80x = 471,032,728.20 × 314,021,818.80
  4. Step 4: Simplify right side
    314,021,818.80x = 147,914,554,023,690,048
  5. Step 5: Solve for x
    x = 147,914,554,023,690,048/314,021,818.80
  6. Step 6: Final answer
    x = 471,032,728.20

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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.