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Finding the Fourth Proportional to 505,602,502.60, 757,270,013.10 and 414,903,238.60

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Solution

The fourth proportional to 505,602,502.60, 757,270,013.10 and 414,903,238.60 is: 621,424,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,602,502.60 : 757,270,013.10 = 414,903,238.60 : x
  2. Step 2: Convert to fraction form
    505,602,502.60/757,270,013.10 = 414,903,238.60/x
  3. Step 3: Cross multiply
    505,602,502.60x = 757,270,013.10 × 414,903,238.60
  4. Step 4: Simplify right side
    505,602,502.60x = 314,193,780,929,854,464
  5. Step 5: Solve for x
    x = 314,193,780,929,854,464/505,602,502.60
  6. Step 6: Final answer
    x = 621,424,497.14

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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.