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Finding the Fourth Proportional to 804,901,883.10, 1,207,352,824.65 and 804,901,883.10

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Solution

The fourth proportional to 804,901,883.10, 1,207,352,824.65 and 804,901,883.10 is: 1,207,352,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,901,883.10 : 1,207,352,824.65 = 804,901,883.10 : x
  2. Step 2: Convert to fraction form
    804,901,883.10/1,207,352,824.65 = 804,901,883.10/x
  3. Step 3: Cross multiply
    804,901,883.10x = 1,207,352,824.65 × 804,901,883.10
  4. Step 4: Simplify right side
    804,901,883.10x = 971,800,562,126,889,216
  5. Step 5: Solve for x
    x = 971,800,562,126,889,216/804,901,883.10
  6. Step 6: Final answer
    x = 1,207,352,824.65

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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.