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Finding the Fourth Proportional to 977,426,502,456.90, 1,466,139,753,685.40 and 977,426,502,456.90

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Solution

The fourth proportional to 977,426,502,456.90, 1,466,139,753,685.40 and 977,426,502,456.90 is: 1,466,139,753,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,426,502,456.90 : 1,466,139,753,685.40 = 977,426,502,456.90 : x
  2. Step 2: Convert to fraction form
    977,426,502,456.90/1,466,139,753,685.40 = 977,426,502,456.90/x
  3. Step 3: Cross multiply
    977,426,502,456.90x = 1,466,139,753,685.40 × 977,426,502,456.90
  4. Step 4: Simplify right side
    977,426,502,456.90x = 1,433,043,851,557,741,311,033,344
  5. Step 5: Solve for x
    x = 1,433,043,851,557,741,311,033,344/977,426,502,456.90
  6. Step 6: Final answer
    x = 1,466,139,753,685.40

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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.