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Finding the Fourth Proportional to 917,322,014.10, 1,287,878,790.30 and 917,322,014.10

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Solution

The fourth proportional to 917,322,014.10, 1,287,878,790.30 and 917,322,014.10 is: 1,287,878,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,322,014.10 : 1,287,878,790.30 = 917,322,014.10 : x
  2. Step 2: Convert to fraction form
    917,322,014.10/1,287,878,790.30 = 917,322,014.10/x
  3. Step 3: Cross multiply
    917,322,014.10x = 1,287,878,790.30 × 917,322,014.10
  4. Step 4: Simplify right side
    917,322,014.10x = 1,181,399,565,834,667,520
  5. Step 5: Solve for x
    x = 1,181,399,565,834,667,520/917,322,014.10
  6. Step 6: Final answer
    x = 1,287,878,790.30

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