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Finding the Fourth Proportional to 560,033,462.97, 773,136,438.71 and 409,156,698.47

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Solution

The fourth proportional to 560,033,462.97, 773,136,438.71 and 409,156,698.47 is: 564,848,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,033,462.97 : 773,136,438.71 = 409,156,698.47 : x
  2. Step 2: Convert to fraction form
    560,033,462.97/773,136,438.71 = 409,156,698.47/x
  3. Step 3: Cross multiply
    560,033,462.97x = 773,136,438.71 × 409,156,698.47
  4. Step 4: Simplify right side
    560,033,462.97x = 316,333,952,723,525,632
  5. Step 5: Solve for x
    x = 316,333,952,723,525,632/560,033,462.97
  6. Step 6: Final answer
    x = 564,848,305.75

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