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Finding the Fourth Proportional to 17,104,051,209.80, 25,656,076,814.70 and 17,104,051,209.80

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Solution

The fourth proportional to 17,104,051,209.80, 25,656,076,814.70 and 17,104,051,209.80 is: 25,656,076,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104,051,209.80 : 25,656,076,814.70 = 17,104,051,209.80 : x
  2. Step 2: Convert to fraction form
    17,104,051,209.80/25,656,076,814.70 = 17,104,051,209.80/x
  3. Step 3: Cross multiply
    17,104,051,209.80x = 25,656,076,814.70 × 17,104,051,209.80
  4. Step 4: Simplify right side
    17,104,051,209.80x = 438,822,851,681,191,264,256
  5. Step 5: Solve for x
    x = 438,822,851,681,191,264,256/17,104,051,209.80
  6. Step 6: Final answer
    x = 25,656,076,814.70

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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.