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Finding the Fourth Proportional to 176,398,833.78, 264,658,913.19 and 103,676,457.06

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Solution

The fourth proportional to 176,398,833.78, 264,658,913.19 and 103,676,457.06 is: 155,550,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,398,833.78 : 264,658,913.19 = 103,676,457.06 : x
  2. Step 2: Convert to fraction form
    176,398,833.78/264,658,913.19 = 103,676,457.06/x
  3. Step 3: Cross multiply
    176,398,833.78x = 264,658,913.19 × 103,676,457.06
  4. Step 4: Simplify right side
    176,398,833.78x = 27,438,898,448,889,304
  5. Step 5: Solve for x
    x = 27,438,898,448,889,304/176,398,833.78
  6. Step 6: Final answer
    x = 155,550,339.31

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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.