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Finding the Fourth Proportional to 1,335,744,904.30, 1,866,220,806.50 and 1,335,744,904.30

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Solution

The fourth proportional to 1,335,744,904.30, 1,866,220,806.50 and 1,335,744,904.30 is: 1,866,220,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,744,904.30 : 1,866,220,806.50 = 1,335,744,904.30 : x
  2. Step 2: Convert to fraction form
    1,335,744,904.30/1,866,220,806.50 = 1,335,744,904.30/x
  3. Step 3: Cross multiply
    1,335,744,904.30x = 1,866,220,806.50 × 1,335,744,904.30
  4. Step 4: Simplify right side
    1,335,744,904.30x = 2,492,794,932,581,011,456
  5. Step 5: Solve for x
    x = 2,492,794,932,581,011,456/1,335,744,904.30
  6. Step 6: Final answer
    x = 1,866,220,806.50

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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.