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Finding the Fourth Proportional to 14,739,766,543.80, 22,109,649,815.70 and 14,739,766,543.80

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Solution

The fourth proportional to 14,739,766,543.80, 22,109,649,815.70 and 14,739,766,543.80 is: 22,109,649,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739,766,543.80 : 22,109,649,815.70 = 14,739,766,543.80 : x
  2. Step 2: Convert to fraction form
    14,739,766,543.80/22,109,649,815.70 = 14,739,766,543.80/x
  3. Step 3: Cross multiply
    14,739,766,543.80x = 22,109,649,815.70 × 14,739,766,543.80
  4. Step 4: Simplify right side
    14,739,766,543.80x = 325,891,076,648,588,673,024
  5. Step 5: Solve for x
    x = 325,891,076,648,588,673,024/14,739,766,543.80
  6. Step 6: Final answer
    x = 22,109,649,815.70

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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.