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Finding the Fourth Proportional to 1,197,509,905.20, 1,796,264,857.80 and 1,197,509,905.20

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Solution

The fourth proportional to 1,197,509,905.20, 1,796,264,857.80 and 1,197,509,905.20 is: 1,796,264,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,509,905.20 : 1,796,264,857.80 = 1,197,509,905.20 : x
  2. Step 2: Convert to fraction form
    1,197,509,905.20/1,796,264,857.80 = 1,197,509,905.20/x
  3. Step 3: Cross multiply
    1,197,509,905.20x = 1,796,264,857.80 × 1,197,509,905.20
  4. Step 4: Simplify right side
    1,197,509,905.20x = 2,151,044,959,578,169,600
  5. Step 5: Solve for x
    x = 2,151,044,959,578,169,600/1,197,509,905.20
  6. Step 6: Final answer
    x = 1,796,264,857.80

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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.