Home / 406,078,133,961.96-560,401,264,140.14-223,181,718,460.42

Finding the Fourth Proportional to 406,078,133,961.96, 560,401,264,140.14 and 223,181,718,460.42

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Solution

The fourth proportional to 406,078,133,961.96, 560,401,264,140.14 and 223,181,718,460.42 is: 307,998,157,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,078,133,961.96 : 560,401,264,140.14 = 223,181,718,460.42 : x
  2. Step 2: Convert to fraction form
    406,078,133,961.96/560,401,264,140.14 = 223,181,718,460.42/x
  3. Step 3: Cross multiply
    406,078,133,961.96x = 560,401,264,140.14 × 223,181,718,460.42
  4. Step 4: Simplify right side
    406,078,133,961.96x = 125,071,317,158,188,197,871,616
  5. Step 5: Solve for x
    x = 125,071,317,158,188,197,871,616/406,078,133,961.96
  6. Step 6: Final answer
    x = 307,998,157,738.54

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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.