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Finding the Fourth Proportional to 979,402,783,442.40, 1,466,782,274,005.20 and 979,402,783,442.40

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Solution

The fourth proportional to 979,402,783,442.40, 1,466,782,274,005.20 and 979,402,783,442.40 is: 1,466,782,274,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,402,783,442.40 : 1,466,782,274,005.20 = 979,402,783,442.40 : x
  2. Step 2: Convert to fraction form
    979,402,783,442.40/1,466,782,274,005.20 = 979,402,783,442.40/x
  3. Step 3: Cross multiply
    979,402,783,442.40x = 1,466,782,274,005.20 × 979,402,783,442.40
  4. Step 4: Simplify right side
    979,402,783,442.40x = 1,436,570,641,864,665,983,877,120
  5. Step 5: Solve for x
    x = 1,436,570,641,864,665,983,877,120/979,402,783,442.40
  6. Step 6: Final answer
    x = 1,466,782,274,005.20

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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.