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Finding the Fourth Proportional to 1,329,704,672.40, 1,994,557,008.60 and 778,706,643.60

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Solution

The fourth proportional to 1,329,704,672.40, 1,994,557,008.60 and 778,706,643.60 is: 1,168,059,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,704,672.40 : 1,994,557,008.60 = 778,706,643.60 : x
  2. Step 2: Convert to fraction form
    1,329,704,672.40/1,994,557,008.60 = 778,706,643.60/x
  3. Step 3: Cross multiply
    1,329,704,672.40x = 1,994,557,008.60 × 778,706,643.60
  4. Step 4: Simplify right side
    1,329,704,672.40x = 1,553,174,793,635,762,432
  5. Step 5: Solve for x
    x = 1,553,174,793,635,762,432/1,329,704,672.40
  6. Step 6: Final answer
    x = 1,168,059,965.40

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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.