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Finding the Fourth Proportional to 813,888,942.80, 1,140,975,070 and 813,888,942.80

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Solution

The fourth proportional to 813,888,942.80, 1,140,975,070 and 813,888,942.80 is: 1,140,975,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,888,942.80 : 1,140,975,070 = 813,888,942.80 : x
  2. Step 2: Convert to fraction form
    813,888,942.80/1,140,975,070 = 813,888,942.80/x
  3. Step 3: Cross multiply
    813,888,942.80x = 1,140,975,070 × 813,888,942.80
  4. Step 4: Simplify right side
    813,888,942.80x = 928,626,993,483,456,000
  5. Step 5: Solve for x
    x = 928,626,993,483,456,000/813,888,942.80
  6. Step 6: Final answer
    x = 1,140,975,070

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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.