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Finding the Fourth Proportional to 880,069,875,747.40, 1,320,104,813,621.10 and 880,069,875,747.40

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Solution

The fourth proportional to 880,069,875,747.40, 1,320,104,813,621.10 and 880,069,875,747.40 is: 1,320,104,813,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,069,875,747.40 : 1,320,104,813,621.10 = 880,069,875,747.40 : x
  2. Step 2: Convert to fraction form
    880,069,875,747.40/1,320,104,813,621.10 = 880,069,875,747.40/x
  3. Step 3: Cross multiply
    880,069,875,747.40x = 1,320,104,813,621.10 × 880,069,875,747.40
  4. Step 4: Simplify right side
    880,069,875,747.40x = 1,161,784,479,297,066,290,380,800
  5. Step 5: Solve for x
    x = 1,161,784,479,297,066,290,380,800/880,069,875,747.40
  6. Step 6: Final answer
    x = 1,320,104,813,621.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.