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Finding the Fourth Proportional to 8,549,714,672.70, 12,824,572,009.05 and 8,549,714,672.70

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Solution

The fourth proportional to 8,549,714,672.70, 12,824,572,009.05 and 8,549,714,672.70 is: 12,824,572,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549,714,672.70 : 12,824,572,009.05 = 8,549,714,672.70 : x
  2. Step 2: Convert to fraction form
    8,549,714,672.70/12,824,572,009.05 = 8,549,714,672.70/x
  3. Step 3: Cross multiply
    8,549,714,672.70x = 12,824,572,009.05 × 8,549,714,672.70
  4. Step 4: Simplify right side
    8,549,714,672.70x = 109,646,431,476,872,495,104
  5. Step 5: Solve for x
    x = 109,646,431,476,872,495,104/8,549,714,672.70
  6. Step 6: Final answer
    x = 12,824,572,009.05

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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.