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Finding the Fourth Proportional to 966,006,037.10, 1,449,009,055.65 and 966,006,037.10

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Solution

The fourth proportional to 966,006,037.10, 1,449,009,055.65 and 966,006,037.10 is: 1,449,009,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,006,037.10 : 1,449,009,055.65 = 966,006,037.10 : x
  2. Step 2: Convert to fraction form
    966,006,037.10/1,449,009,055.65 = 966,006,037.10/x
  3. Step 3: Cross multiply
    966,006,037.10x = 1,449,009,055.65 × 966,006,037.10
  4. Step 4: Simplify right side
    966,006,037.10x = 1,399,751,495,570,469,888
  5. Step 5: Solve for x
    x = 1,399,751,495,570,469,888/966,006,037.10
  6. Step 6: Final answer
    x = 1,449,009,055.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.