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Finding the Fourth Proportional to 735,103,132.40, 1,029,909,660.40 and 735,103,132.40

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Solution

The fourth proportional to 735,103,132.40, 1,029,909,660.40 and 735,103,132.40 is: 1,029,909,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,103,132.40 : 1,029,909,660.40 = 735,103,132.40 : x
  2. Step 2: Convert to fraction form
    735,103,132.40/1,029,909,660.40 = 735,103,132.40/x
  3. Step 3: Cross multiply
    735,103,132.40x = 1,029,909,660.40 × 735,103,132.40
  4. Step 4: Simplify right side
    735,103,132.40x = 757,089,817,449,060,224
  5. Step 5: Solve for x
    x = 757,089,817,449,060,224/735,103,132.40
  6. Step 6: Final answer
    x = 1,029,909,660.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.