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Finding the Fourth Proportional to 1,657,851,829.40, 2,324,389,947.40 and 1,657,851,829.40

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Solution

The fourth proportional to 1,657,851,829.40, 2,324,389,947.40 and 1,657,851,829.40 is: 2,324,389,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,851,829.40 : 2,324,389,947.40 = 1,657,851,829.40 : x
  2. Step 2: Convert to fraction form
    1,657,851,829.40/2,324,389,947.40 = 1,657,851,829.40/x
  3. Step 3: Cross multiply
    1,657,851,829.40x = 2,324,389,947.40 × 1,657,851,829.40
  4. Step 4: Simplify right side
    1,657,851,829.40x = 3,853,494,126,536,059,904
  5. Step 5: Solve for x
    x = 3,853,494,126,536,059,904/1,657,851,829.40
  6. Step 6: Final answer
    x = 2,324,389,947.40

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1.5x scale

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.