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Finding the Fourth Proportional to 46,664,237.60, 65,178,767.20 and 46,664,237.60

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Solution

The fourth proportional to 46,664,237.60, 65,178,767.20 and 46,664,237.60 is: 65,178,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,664,237.60 : 65,178,767.20 = 46,664,237.60 : x
  2. Step 2: Convert to fraction form
    46,664,237.60/65,178,767.20 = 46,664,237.60/x
  3. Step 3: Cross multiply
    46,664,237.60x = 65,178,767.20 × 46,664,237.60
  4. Step 4: Simplify right side
    46,664,237.60x = 3,041,517,479,095,887
  5. Step 5: Solve for x
    x = 3,041,517,479,095,887/46,664,237.60
  6. Step 6: Final answer
    x = 65,178,767.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.