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Finding the Fourth Proportional to 917,322,012.60, 1,287,878,788.20 and 917,322,012.60

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Solution

The fourth proportional to 917,322,012.60, 1,287,878,788.20 and 917,322,012.60 is: 1,287,878,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,322,012.60 : 1,287,878,788.20 = 917,322,012.60 : x
  2. Step 2: Convert to fraction form
    917,322,012.60/1,287,878,788.20 = 917,322,012.60/x
  3. Step 3: Cross multiply
    917,322,012.60x = 1,287,878,788.20 × 917,322,012.60
  4. Step 4: Simplify right side
    917,322,012.60x = 1,181,399,561,976,473,088
  5. Step 5: Solve for x
    x = 1,181,399,561,976,473,088/917,322,012.60
  6. Step 6: Final answer
    x = 1,287,878,788.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.