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Finding the Fourth Proportional to 8,503,076,543.70, 12,731,656,564.35 and 8,503,076,543.70

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Solution

The fourth proportional to 8,503,076,543.70, 12,731,656,564.35 and 8,503,076,543.70 is: 12,731,656,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503,076,543.70 : 12,731,656,564.35 = 8,503,076,543.70 : x
  2. Step 2: Convert to fraction form
    8,503,076,543.70/12,731,656,564.35 = 8,503,076,543.70/x
  3. Step 3: Cross multiply
    8,503,076,543.70x = 12,731,656,564.35 × 8,503,076,543.70
  4. Step 4: Simplify right side
    8,503,076,543.70x = 108,258,250,294,768,615,424
  5. Step 5: Solve for x
    x = 108,258,250,294,768,615,424/8,503,076,543.70
  6. Step 6: Final answer
    x = 12,731,656,564.35

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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.