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Finding the Fourth Proportional to 77,946,302.90, 109,303,983.10 and 77,946,302.90

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Solution

The fourth proportional to 77,946,302.90, 109,303,983.10 and 77,946,302.90 is: 109,303,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946,302.90 : 109,303,983.10 = 77,946,302.90 : x
  2. Step 2: Convert to fraction form
    77,946,302.90/109,303,983.10 = 77,946,302.90/x
  3. Step 3: Cross multiply
    77,946,302.90x = 109,303,983.10 × 77,946,302.90
  4. Step 4: Simplify right side
    77,946,302.90x = 8,519,841,374,889,081
  5. Step 5: Solve for x
    x = 8,519,841,374,889,081/77,946,302.90
  6. Step 6: Final answer
    x = 109,303,983.10

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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.