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Finding the Fourth Proportional to 521,522,872,643.70, 782,284,308,965.55 and 521,522,872,643.70

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Solution

The fourth proportional to 521,522,872,643.70, 782,284,308,965.55 and 521,522,872,643.70 is: 782,284,308,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,872,643.70 : 782,284,308,965.55 = 521,522,872,643.70 : x
  2. Step 2: Convert to fraction form
    521,522,872,643.70/782,284,308,965.55 = 521,522,872,643.70/x
  3. Step 3: Cross multiply
    521,522,872,643.70x = 782,284,308,965.55 × 521,522,872,643.70
  4. Step 4: Simplify right side
    521,522,872,643.70x = 407,979,160,035,805,399,875,584
  5. Step 5: Solve for x
    x = 407,979,160,035,805,399,875,584/521,522,872,643.70
  6. Step 6: Final answer
    x = 782,284,308,965.55

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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.