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Finding the Fourth Proportional to 101,392,003.10, 152,088,004.65 and 97,808,822.30

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Solution

The fourth proportional to 101,392,003.10, 152,088,004.65 and 97,808,822.30 is: 146,713,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,392,003.10 : 152,088,004.65 = 97,808,822.30 : x
  2. Step 2: Convert to fraction form
    101,392,003.10/152,088,004.65 = 97,808,822.30/x
  3. Step 3: Cross multiply
    101,392,003.10x = 152,088,004.65 × 97,808,822.30
  4. Step 4: Simplify right side
    101,392,003.10x = 14,875,548,620,773,424
  5. Step 5: Solve for x
    x = 14,875,548,620,773,424/101,392,003.10
  6. Step 6: Final answer
    x = 146,713,233.45

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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.