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Finding the Fourth Proportional to 885,128,271.60, 1,327,692,407.40 and 885,128,271.60

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Solution

The fourth proportional to 885,128,271.60, 1,327,692,407.40 and 885,128,271.60 is: 1,327,692,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,128,271.60 : 1,327,692,407.40 = 885,128,271.60 : x
  2. Step 2: Convert to fraction form
    885,128,271.60/1,327,692,407.40 = 885,128,271.60/x
  3. Step 3: Cross multiply
    885,128,271.60x = 1,327,692,407.40 × 885,128,271.60
  4. Step 4: Simplify right side
    885,128,271.60x = 1,175,178,085,778,405,120
  5. Step 5: Solve for x
    x = 1,175,178,085,778,405,120/885,128,271.60
  6. Step 6: Final answer
    x = 1,327,692,407.40

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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.