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Finding the Fourth Proportional to 46,656,003.60, 69,984,005.45 and 46,656,003.60

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Solution

The fourth proportional to 46,656,003.60, 69,984,005.45 and 46,656,003.60 is: 69,984,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656,003.60 : 69,984,005.45 = 46,656,003.60 : x
  2. Step 2: Convert to fraction form
    46,656,003.60/69,984,005.45 = 46,656,003.60/x
  3. Step 3: Cross multiply
    46,656,003.60x = 69,984,005.45 × 46,656,003.60
  4. Step 4: Simplify right side
    46,656,003.60x = 3,265,174,009,984,339.50
  5. Step 5: Solve for x
    x = 3,265,174,009,984,339.50/46,656,003.60
  6. Step 6: Final answer
    x = 69,984,005.45

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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.