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Finding the Fourth Proportional to 97,806,643.20, 146,709,964.80 and 29,640,477.60

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Solution

The fourth proportional to 97,806,643.20, 146,709,964.80 and 29,640,477.60 is: 44,460,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806,643.20 : 146,709,964.80 = 29,640,477.60 : x
  2. Step 2: Convert to fraction form
    97,806,643.20/146,709,964.80 = 29,640,477.60/x
  3. Step 3: Cross multiply
    97,806,643.20x = 146,709,964.80 × 29,640,477.60
  4. Step 4: Simplify right side
    97,806,643.20x = 4,348,553,425,351,189
  5. Step 5: Solve for x
    x = 4,348,553,425,351,189/97,806,643.20
  6. Step 6: Final answer
    x = 44,460,716.40

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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.