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Finding the Fourth Proportional to 105,576,005.20, 148,007,961.20 and 105,576,005.20

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Solution

The fourth proportional to 105,576,005.20, 148,007,961.20 and 105,576,005.20 is: 148,007,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576,005.20 : 148,007,961.20 = 105,576,005.20 : x
  2. Step 2: Convert to fraction form
    105,576,005.20/148,007,961.20 = 105,576,005.20/x
  3. Step 3: Cross multiply
    105,576,005.20x = 148,007,961.20 × 105,576,005.20
  4. Step 4: Simplify right side
    105,576,005.20x = 15,626,089,281,292,598
  5. Step 5: Solve for x
    x = 15,626,089,281,292,598/105,576,005.20
  6. Step 6: Final answer
    x = 148,007,961.20

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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.