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Finding the Fourth Proportional to 1,769,821,041.10, 2,473,157,807.30 and 1,769,821,041.10

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Solution

The fourth proportional to 1,769,821,041.10, 2,473,157,807.30 and 1,769,821,041.10 is: 2,473,157,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,821,041.10 : 2,473,157,807.30 = 1,769,821,041.10 : x
  2. Step 2: Convert to fraction form
    1,769,821,041.10/2,473,157,807.30 = 1,769,821,041.10/x
  3. Step 3: Cross multiply
    1,769,821,041.10x = 2,473,157,807.30 × 1,769,821,041.10
  4. Step 4: Simplify right side
    1,769,821,041.10x = 4,377,046,725,320,279,040
  5. Step 5: Solve for x
    x = 4,377,046,725,320,279,040/1,769,821,041.10
  6. Step 6: Final answer
    x = 2,473,157,807.30

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