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Finding the Fourth Proportional to 648,238,490.40, 972,512,424 and 211,539,986.40

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Solution

The fourth proportional to 648,238,490.40, 972,512,424 and 211,539,986.40 is: 317,360,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,238,490.40 : 972,512,424 = 211,539,986.40 : x
  2. Step 2: Convert to fraction form
    648,238,490.40/972,512,424 = 211,539,986.40/x
  3. Step 3: Cross multiply
    648,238,490.40x = 972,512,424 × 211,539,986.40
  4. Step 4: Simplify right side
    648,238,490.40x = 205,725,264,946,791,040
  5. Step 5: Solve for x
    x = 205,725,264,946,791,040/648,238,490.40
  6. Step 6: Final answer
    x = 317,360,459.14

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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.