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Finding the Fourth Proportional to 804,816,005.70, 1,207,224,008.55 and 804,816,005.70

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Solution

The fourth proportional to 804,816,005.70, 1,207,224,008.55 and 804,816,005.70 is: 1,207,224,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,816,005.70 : 1,207,224,008.55 = 804,816,005.70 : x
  2. Step 2: Convert to fraction form
    804,816,005.70/1,207,224,008.55 = 804,816,005.70/x
  3. Step 3: Cross multiply
    804,816,005.70x = 1,207,224,008.55 × 804,816,005.70
  4. Step 4: Simplify right side
    804,816,005.70x = 971,593,204,546,353,664
  5. Step 5: Solve for x
    x = 971,593,204,546,353,664/804,816,005.70
  6. Step 6: Final answer
    x = 1,207,224,008.55

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