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Finding the Fourth Proportional to 880,094,729.80, 1,320,142,094.70 and 880,094,729.80

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Solution

The fourth proportional to 880,094,729.80, 1,320,142,094.70 and 880,094,729.80 is: 1,320,142,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,094,729.80 : 1,320,142,094.70 = 880,094,729.80 : x
  2. Step 2: Convert to fraction form
    880,094,729.80/1,320,142,094.70 = 880,094,729.80/x
  3. Step 3: Cross multiply
    880,094,729.80x = 1,320,142,094.70 × 880,094,729.80
  4. Step 4: Simplify right side
    880,094,729.80x = 1,161,850,100,132,602,368
  5. Step 5: Solve for x
    x = 1,161,850,100,132,602,368/880,094,729.80
  6. Step 6: Final answer
    x = 1,320,142,094.70

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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.