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Finding the Fourth Proportional to 917,322,013.10, 1,287,878,788.90 and 917,322,013.10

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Solution

The fourth proportional to 917,322,013.10, 1,287,878,788.90 and 917,322,013.10 is: 1,287,878,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,322,013.10 : 1,287,878,788.90 = 917,322,013.10 : x
  2. Step 2: Convert to fraction form
    917,322,013.10/1,287,878,788.90 = 917,322,013.10/x
  3. Step 3: Cross multiply
    917,322,013.10x = 1,287,878,788.90 × 917,322,013.10
  4. Step 4: Simplify right side
    917,322,013.10x = 1,181,399,563,262,537,984
  5. Step 5: Solve for x
    x = 1,181,399,563,262,537,984/917,322,013.10
  6. Step 6: Final answer
    x = 1,287,878,788.90

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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.