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Finding the Fourth Proportional to 977,897,735.80, 1,466,846,603.70 and 909,022,982.20

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Solution

The fourth proportional to 977,897,735.80, 1,466,846,603.70 and 909,022,982.20 is: 1,363,534,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,897,735.80 : 1,466,846,603.70 = 909,022,982.20 : x
  2. Step 2: Convert to fraction form
    977,897,735.80/1,466,846,603.70 = 909,022,982.20/x
  3. Step 3: Cross multiply
    977,897,735.80x = 1,466,846,603.70 × 909,022,982.20
  4. Step 4: Simplify right side
    977,897,735.80x = 1,333,397,274,125,315,584
  5. Step 5: Solve for x
    x = 1,333,397,274,125,315,584/977,897,735.80
  6. Step 6: Final answer
    x = 1,363,534,473.30

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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.