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Finding the Fourth Proportional to 1,335,744,536.80, 1,866,220,292 and 1,335,744,536.80

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Solution

The fourth proportional to 1,335,744,536.80, 1,866,220,292 and 1,335,744,536.80 is: 1,866,220,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,744,536.80 : 1,866,220,292 = 1,335,744,536.80 : x
  2. Step 2: Convert to fraction form
    1,335,744,536.80/1,866,220,292 = 1,335,744,536.80/x
  3. Step 3: Cross multiply
    1,335,744,536.80x = 1,866,220,292 × 1,335,744,536.80
  4. Step 4: Simplify right side
    1,335,744,536.80x = 2,492,793,559,504,300,544
  5. Step 5: Solve for x
    x = 2,492,793,559,504,300,544/1,335,744,536.80
  6. Step 6: Final answer
    x = 1,866,220,292

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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.