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Finding the Fourth Proportional to 97,785,172,969.60, 146,677,759,454.40 and 97,785,172,969.60

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Solution

The fourth proportional to 97,785,172,969.60, 146,677,759,454.40 and 97,785,172,969.60 is: 146,677,759,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,172,969.60 : 146,677,759,454.40 = 97,785,172,969.60 : x
  2. Step 2: Convert to fraction form
    97,785,172,969.60/146,677,759,454.40 = 97,785,172,969.60/x
  3. Step 3: Cross multiply
    97,785,172,969.60x = 146,677,759,454.40 × 97,785,172,969.60
  4. Step 4: Simplify right side
    97,785,172,969.60x = 14,342,910,079,041,886,224,384
  5. Step 5: Solve for x
    x = 14,342,910,079,041,886,224,384/97,785,172,969.60
  6. Step 6: Final answer
    x = 146,677,759,454.40

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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.