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Finding the Fourth Proportional to 176,289,908.40, 264,434,862.60 and 176,289,908.40

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Solution

The fourth proportional to 176,289,908.40, 264,434,862.60 and 176,289,908.40 is: 264,434,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289,908.40 : 264,434,862.60 = 176,289,908.40 : x
  2. Step 2: Convert to fraction form
    176,289,908.40/264,434,862.60 = 176,289,908.40/x
  3. Step 3: Cross multiply
    176,289,908.40x = 264,434,862.60 × 176,289,908.40
  4. Step 4: Simplify right side
    176,289,908.40x = 46,617,197,705,520,584
  5. Step 5: Solve for x
    x = 46,617,197,705,520,584/176,289,908.40
  6. Step 6: Final answer
    x = 264,434,862.60

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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.