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Finding the Fourth Proportional to 176,806,906.40, 265,210,359.60 and 176,806,906.40

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Solution

The fourth proportional to 176,806,906.40, 265,210,359.60 and 176,806,906.40 is: 265,210,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,806,906.40 : 265,210,359.60 = 176,806,906.40 : x
  2. Step 2: Convert to fraction form
    176,806,906.40/265,210,359.60 = 176,806,906.40/x
  3. Step 3: Cross multiply
    176,806,906.40x = 265,210,359.60 × 176,806,906.40
  4. Step 4: Simplify right side
    176,806,906.40x = 46,891,023,226,107,544
  5. Step 5: Solve for x
    x = 46,891,023,226,107,544/176,806,906.40
  6. Step 6: Final answer
    x = 265,210,359.60

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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.