Home / 406,078,133,847.53-560,401,263,982.08-223,181,718,345.90

Finding the Fourth Proportional to 406,078,133,847.53, 560,401,263,982.08 and 223,181,718,345.90

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Solution

The fourth proportional to 406,078,133,847.53, 560,401,263,982.08 and 223,181,718,345.90 is: 307,998,157,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,078,133,847.53 : 560,401,263,982.08 = 223,181,718,345.90 : x
  2. Step 2: Convert to fraction form
    406,078,133,847.53/560,401,263,982.08 = 223,181,718,345.90/x
  3. Step 3: Cross multiply
    406,078,133,847.53x = 560,401,263,982.08 × 223,181,718,345.90
  4. Step 4: Simplify right side
    406,078,133,847.53x = 125,071,317,058,734,925,021,184
  5. Step 5: Solve for x
    x = 125,071,317,058,734,925,021,184/406,078,133,847.53
  6. Step 6: Final answer
    x = 307,998,157,580.42

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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.