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Finding the Fourth Proportional to 561,797,475.84, 775,281,650.40 and 314,282,963.52

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Solution

The fourth proportional to 561,797,475.84, 775,281,650.40 and 314,282,963.52 is: 433,711,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,797,475.84 : 775,281,650.40 = 314,282,963.52 : x
  2. Step 2: Convert to fraction form
    561,797,475.84/775,281,650.40 = 314,282,963.52/x
  3. Step 3: Cross multiply
    561,797,475.84x = 775,281,650.40 × 314,282,963.52
  4. Step 4: Simplify right side
    561,797,475.84x = 243,657,814,650,388,576
  5. Step 5: Solve for x
    x = 243,657,814,650,388,576/561,797,475.84
  6. Step 6: Final answer
    x = 433,711,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.