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Finding the Fourth Proportional to 145,003,761,985.80, 217,505,642,978.70 and 145,003,761,985.80

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Solution

The fourth proportional to 145,003,761,985.80, 217,505,642,978.70 and 145,003,761,985.80 is: 217,505,642,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,003,761,985.80 : 217,505,642,978.70 = 145,003,761,985.80 : x
  2. Step 2: Convert to fraction form
    145,003,761,985.80/217,505,642,978.70 = 145,003,761,985.80/x
  3. Step 3: Cross multiply
    145,003,761,985.80x = 217,505,642,978.70 × 145,003,761,985.80
  4. Step 4: Simplify right side
    145,003,761,985.80x = 31,539,136,485,051,806,515,200
  5. Step 5: Solve for x
    x = 31,539,136,485,051,806,515,200/145,003,761,985.80
  6. Step 6: Final answer
    x = 217,505,642,978.70

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1.5x scale

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.