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Finding the Fourth Proportional to 1,185,241,900.02, 1,635,734,264.37 and 656,771,655.21

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Solution

The fourth proportional to 1,185,241,900.02, 1,635,734,264.37 and 656,771,655.21 is: 906,400,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,241,900.02 : 1,635,734,264.37 = 656,771,655.21 : x
  2. Step 2: Convert to fraction form
    1,185,241,900.02/1,635,734,264.37 = 656,771,655.21/x
  3. Step 3: Cross multiply
    1,185,241,900.02x = 1,635,734,264.37 × 656,771,655.21
  4. Step 4: Simplify right side
    1,185,241,900.02x = 1,074,303,900,294,236,416
  5. Step 5: Solve for x
    x = 1,074,303,900,294,236,416/1,185,241,900.02
  6. Step 6: Final answer
    x = 906,400,541.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.