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Finding the Fourth Proportional to 105,576,009.70, 148,007,967.50 and 105,576,009.70

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Solution

The fourth proportional to 105,576,009.70, 148,007,967.50 and 105,576,009.70 is: 148,007,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576,009.70 : 148,007,967.50 = 105,576,009.70 : x
  2. Step 2: Convert to fraction form
    105,576,009.70/148,007,967.50 = 105,576,009.70/x
  3. Step 3: Cross multiply
    105,576,009.70x = 148,007,967.50 × 105,576,009.70
  4. Step 4: Simplify right side
    105,576,009.70x = 15,626,090,612,457,286
  5. Step 5: Solve for x
    x = 15,626,090,612,457,286/105,576,009.70
  6. Step 6: Final answer
    x = 148,007,967.50

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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.