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Finding the Fourth Proportional to 176,160,185.40, 264,240,278.10 and 176,160,185.40

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Solution

The fourth proportional to 176,160,185.40, 264,240,278.10 and 176,160,185.40 is: 264,240,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,160,185.40 : 264,240,278.10 = 176,160,185.40 : x
  2. Step 2: Convert to fraction form
    176,160,185.40/264,240,278.10 = 176,160,185.40/x
  3. Step 3: Cross multiply
    176,160,185.40x = 264,240,278.10 × 176,160,185.40
  4. Step 4: Simplify right side
    176,160,185.40x = 46,548,616,380,243,560
  5. Step 5: Solve for x
    x = 46,548,616,380,243,560/176,160,185.40
  6. Step 6: Final answer
    x = 264,240,278.10

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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.