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Finding the Fourth Proportional to 103,362,048,276.60, 155,043,072,414.90 and 103,362,048,276.60

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Solution

The fourth proportional to 103,362,048,276.60, 155,043,072,414.90 and 103,362,048,276.60 is: 155,043,072,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,362,048,276.60 : 155,043,072,414.90 = 103,362,048,276.60 : x
  2. Step 2: Convert to fraction form
    103,362,048,276.60/155,043,072,414.90 = 103,362,048,276.60/x
  3. Step 3: Cross multiply
    103,362,048,276.60x = 155,043,072,414.90 × 103,362,048,276.60
  4. Step 4: Simplify right side
    103,362,048,276.60x = 16,025,569,535,901,283,909,632
  5. Step 5: Solve for x
    x = 16,025,569,535,901,283,909,632/103,362,048,276.60
  6. Step 6: Final answer
    x = 155,043,072,414.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.