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Finding the Fourth Proportional to 1,650,783.90, 2,312,672.10 and 1,650,783.90

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Solution

The fourth proportional to 1,650,783.90, 2,312,672.10 and 1,650,783.90 is: 2,312,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,783.90 : 2,312,672.10 = 1,650,783.90 : x
  2. Step 2: Convert to fraction form
    1,650,783.90/2,312,672.10 = 1,650,783.90/x
  3. Step 3: Cross multiply
    1,650,783.90x = 2,312,672.10 × 1,650,783.90
  4. Step 4: Simplify right side
    1,650,783.90x = 3,817,721,868,659.19
  5. Step 5: Solve for x
    x = 3,817,721,868,659.19/1,650,783.90
  6. Step 6: Final answer
    x = 2,312,672.10

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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.