Home / 406,113,849,484.32-560,442,190,738.82-223,230,918,197.80

Finding the Fourth Proportional to 406,113,849,484.32, 560,442,190,738.82 and 223,230,918,197.80

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Solution

The fourth proportional to 406,113,849,484.32, 560,442,190,738.82 and 223,230,918,197.80 is: 308,061,458,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,113,849,484.32 : 560,442,190,738.82 = 223,230,918,197.80 : x
  2. Step 2: Convert to fraction form
    406,113,849,484.32/560,442,190,738.82 = 223,230,918,197.80/x
  3. Step 3: Cross multiply
    406,113,849,484.32x = 560,442,190,738.82 × 223,230,918,197.80
  4. Step 4: Simplify right side
    406,113,849,484.32x = 125,108,024,835,413,335,080,960
  5. Step 5: Solve for x
    x = 125,108,024,835,413,335,080,960/406,113,849,484.32
  6. Step 6: Final answer
    x = 308,061,458,613.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.