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Finding the Fourth Proportional to 77,946,258.40, 109,303,920.80 and 77,946,258.40

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Solution

The fourth proportional to 77,946,258.40, 109,303,920.80 and 77,946,258.40 is: 109,303,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946,258.40 : 109,303,920.80 = 77,946,258.40 : x
  2. Step 2: Convert to fraction form
    77,946,258.40/109,303,920.80 = 77,946,258.40/x
  3. Step 3: Cross multiply
    77,946,258.40x = 109,303,920.80 × 77,946,258.40
  4. Step 4: Simplify right side
    77,946,258.40x = 8,519,831,654,809,935
  5. Step 5: Solve for x
    x = 8,519,831,654,809,935/77,946,258.40
  6. Step 6: Final answer
    x = 109,303,920.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.