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Finding the Fourth Proportional to 1,243,015,509.80, 1,736,996,851 and 1,243,015,509.80

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Solution

The fourth proportional to 1,243,015,509.80, 1,736,996,851 and 1,243,015,509.80 is: 1,736,996,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,015,509.80 : 1,736,996,851 = 1,243,015,509.80 : x
  2. Step 2: Convert to fraction form
    1,243,015,509.80/1,736,996,851 = 1,243,015,509.80/x
  3. Step 3: Cross multiply
    1,243,015,509.80x = 1,736,996,851 × 1,243,015,509.80
  4. Step 4: Simplify right side
    1,243,015,509.80x = 2,159,114,026,266,759,680
  5. Step 5: Solve for x
    x = 2,159,114,026,266,759,680/1,243,015,509.80
  6. Step 6: Final answer
    x = 1,736,996,851

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.