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Finding the Fourth Proportional to 46,557,009,327.60, 69,835,513,991.40 and 46,557,009,327.60

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Solution

The fourth proportional to 46,557,009,327.60, 69,835,513,991.40 and 46,557,009,327.60 is: 69,835,513,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,009,327.60 : 69,835,513,991.40 = 46,557,009,327.60 : x
  2. Step 2: Convert to fraction form
    46,557,009,327.60/69,835,513,991.40 = 46,557,009,327.60/x
  3. Step 3: Cross multiply
    46,557,009,327.60x = 69,835,513,991.40 × 46,557,009,327.60
  4. Step 4: Simplify right side
    46,557,009,327.60x = 3,251,332,676,295,349,764,096
  5. Step 5: Solve for x
    x = 3,251,332,676,295,349,764,096/46,557,009,327.60
  6. Step 6: Final answer
    x = 69,835,513,991.40

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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.