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Finding the Fourth Proportional to 505,602,497.60, 757,270,005.60 and 414,903,233.60

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Solution

The fourth proportional to 505,602,497.60, 757,270,005.60 and 414,903,233.60 is: 621,424,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,602,497.60 : 757,270,005.60 = 414,903,233.60 : x
  2. Step 2: Convert to fraction form
    505,602,497.60/757,270,005.60 = 414,903,233.60/x
  3. Step 3: Cross multiply
    505,602,497.60x = 757,270,005.60 × 414,903,233.60
  4. Step 4: Simplify right side
    505,602,497.60x = 314,193,774,031,730,112
  5. Step 5: Solve for x
    x = 314,193,774,031,730,112/505,602,497.60
  6. Step 6: Final answer
    x = 621,424,489.64

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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.