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Finding the Fourth Proportional to 106,312,090.40, 149,240,034.40 and 106,312,090.40

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Solution

The fourth proportional to 106,312,090.40, 149,240,034.40 and 106,312,090.40 is: 149,240,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312,090.40 : 149,240,034.40 = 106,312,090.40 : x
  2. Step 2: Convert to fraction form
    106,312,090.40/149,240,034.40 = 106,312,090.40/x
  3. Step 3: Cross multiply
    106,312,090.40x = 149,240,034.40 × 106,312,090.40
  4. Step 4: Simplify right side
    106,312,090.40x = 15,866,020,028,431,912
  5. Step 5: Solve for x
    x = 15,866,020,028,431,912/106,312,090.40
  6. Step 6: Final answer
    x = 149,240,034.40

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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.