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Finding the Fourth Proportional to 302,427,982.40, 453,641,973.60 and 302,427,982.40

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Solution

The fourth proportional to 302,427,982.40, 453,641,973.60 and 302,427,982.40 is: 453,641,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427,982.40 : 453,641,973.60 = 302,427,982.40 : x
  2. Step 2: Convert to fraction form
    302,427,982.40/453,641,973.60 = 302,427,982.40/x
  3. Step 3: Cross multiply
    302,427,982.40x = 453,641,973.60 × 302,427,982.40
  4. Step 4: Simplify right side
    302,427,982.40x = 137,194,026,807,802,064
  5. Step 5: Solve for x
    x = 137,194,026,807,802,064/302,427,982.40
  6. Step 6: Final answer
    x = 453,641,973.60

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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.