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Finding the Fourth Proportional to 594,505,348,850.70, 891,758,023,276.05 and 594,505,348,850.70

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Solution

The fourth proportional to 594,505,348,850.70, 891,758,023,276.05 and 594,505,348,850.70 is: 891,758,023,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,348,850.70 : 891,758,023,276.05 = 594,505,348,850.70 : x
  2. Step 2: Convert to fraction form
    594,505,348,850.70/891,758,023,276.05 = 594,505,348,850.70/x
  3. Step 3: Cross multiply
    594,505,348,850.70x = 891,758,023,276.05 × 594,505,348,850.70
  4. Step 4: Simplify right side
    594,505,348,850.70x = 530,154,914,718,138,763,313,152
  5. Step 5: Solve for x
    x = 530,154,914,718,138,763,313,152/594,505,348,850.70
  6. Step 6: Final answer
    x = 891,758,023,276.05

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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.