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Finding the Fourth Proportional to 863,141,561.60, 1,294,712,342.40 and 863,141,561.60

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Solution

The fourth proportional to 863,141,561.60, 1,294,712,342.40 and 863,141,561.60 is: 1,294,712,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,141,561.60 : 1,294,712,342.40 = 863,141,561.60 : x
  2. Step 2: Convert to fraction form
    863,141,561.60/1,294,712,342.40 = 863,141,561.60/x
  3. Step 3: Cross multiply
    863,141,561.60x = 1,294,712,342.40 × 863,141,561.60
  4. Step 4: Simplify right side
    863,141,561.60x = 1,117,520,033,041,929,984
  5. Step 5: Solve for x
    x = 1,117,520,033,041,929,984/863,141,561.60
  6. Step 6: Final answer
    x = 1,294,712,342.40

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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.