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Finding the Fourth Proportional to 805,928,601.60, 1,209,191,500.80 and 776,068,761.60

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Solution

The fourth proportional to 805,928,601.60, 1,209,191,500.80 and 776,068,761.60 is: 1,164,390,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,928,601.60 : 1,209,191,500.80 = 776,068,761.60 : x
  2. Step 2: Convert to fraction form
    805,928,601.60/1,209,191,500.80 = 776,068,761.60/x
  3. Step 3: Cross multiply
    805,928,601.60x = 1,209,191,500.80 × 776,068,761.60
  4. Step 4: Simplify right side
    805,928,601.60x = 938,415,750,563,101,440
  5. Step 5: Solve for x
    x = 938,415,750,563,101,440/805,928,601.60
  6. Step 6: Final answer
    x = 1,164,390,677.66

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1.5x scale

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.