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Finding the Fourth Proportional to 137,383,722.40, 205,898,636.40 and 105,312,042.40

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Solution

The fourth proportional to 137,383,722.40, 205,898,636.40 and 105,312,042.40 is: 157,832,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,383,722.40 : 205,898,636.40 = 105,312,042.40 : x
  2. Step 2: Convert to fraction form
    137,383,722.40/205,898,636.40 = 105,312,042.40/x
  3. Step 3: Cross multiply
    137,383,722.40x = 205,898,636.40 × 105,312,042.40
  4. Step 4: Simplify right side
    137,383,722.40x = 21,683,605,926,658,984
  5. Step 5: Solve for x
    x = 21,683,605,926,658,984/137,383,722.40
  6. Step 6: Final answer
    x = 157,832,424.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.