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Finding the Fourth Proportional to 8,032,362,937.60, 12,048,544,406.40 and 8,032,362,937.60

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Solution

The fourth proportional to 8,032,362,937.60, 12,048,544,406.40 and 8,032,362,937.60 is: 12,048,544,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,362,937.60 : 12,048,544,406.40 = 8,032,362,937.60 : x
  2. Step 2: Convert to fraction form
    8,032,362,937.60/12,048,544,406.40 = 8,032,362,937.60/x
  3. Step 3: Cross multiply
    8,032,362,937.60x = 12,048,544,406.40 × 8,032,362,937.60
  4. Step 4: Simplify right side
    8,032,362,937.60x = 96,778,281,541,995,151,360
  5. Step 5: Solve for x
    x = 96,778,281,541,995,151,360/8,032,362,937.60
  6. Step 6: Final answer
    x = 12,048,544,406.40

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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.