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Finding the Fourth Proportional to 977,444,155.80, 1,466,166,233.70 and 977,444,155.80

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Solution

The fourth proportional to 977,444,155.80, 1,466,166,233.70 and 977,444,155.80 is: 1,466,166,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,444,155.80 : 1,466,166,233.70 = 977,444,155.80 : x
  2. Step 2: Convert to fraction form
    977,444,155.80/1,466,166,233.70 = 977,444,155.80/x
  3. Step 3: Cross multiply
    977,444,155.80x = 1,466,166,233.70 × 977,444,155.80
  4. Step 4: Simplify right side
    977,444,155.80x = 1,433,095,616,561,361,920
  5. Step 5: Solve for x
    x = 1,433,095,616,561,361,920/977,444,155.80
  6. Step 6: Final answer
    x = 1,466,166,233.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.