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Finding the Fourth Proportional to 777,728,655, 1,073,348,717.76 and 476,513,865.36

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Solution

The fourth proportional to 777,728,655, 1,073,348,717.76 and 476,513,865.36 is: 657,640,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,728,655 : 1,073,348,717.76 = 476,513,865.36 : x
  2. Step 2: Convert to fraction form
    777,728,655/1,073,348,717.76 = 476,513,865.36/x
  3. Step 3: Cross multiply
    777,728,655x = 1,073,348,717.76 × 476,513,865.36
  4. Step 4: Simplify right side
    777,728,655x = 511,465,546,379,017,280
  5. Step 5: Solve for x
    x = 511,465,546,379,017,280/777,728,655
  6. Step 6: Final answer
    x = 657,640,094.77

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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.