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Finding the Fourth Proportional to 176,808,009.40, 265,212,014.12 and 176,808,009.40

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Solution

The fourth proportional to 176,808,009.40, 265,212,014.12 and 176,808,009.40 is: 265,212,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,808,009.40 : 265,212,014.12 = 176,808,009.40 : x
  2. Step 2: Convert to fraction form
    176,808,009.40/265,212,014.12 = 176,808,009.40/x
  3. Step 3: Cross multiply
    176,808,009.40x = 265,212,014.12 × 176,808,009.40
  4. Step 4: Simplify right side
    176,808,009.40x = 46,891,608,285,521,896
  5. Step 5: Solve for x
    x = 46,891,608,285,521,896/176,808,009.40
  6. Step 6: Final answer
    x = 265,212,014.12

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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.