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Finding the Fourth Proportional to 421,634,157.66, 581,772,450.60 and 264,910,464.45

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Solution

The fourth proportional to 421,634,157.66, 581,772,450.60 and 264,910,464.45 is: 365,524,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,634,157.66 : 581,772,450.60 = 264,910,464.45 : x
  2. Step 2: Convert to fraction form
    421,634,157.66/581,772,450.60 = 264,910,464.45/x
  3. Step 3: Cross multiply
    421,634,157.66x = 581,772,450.60 × 264,910,464.45
  4. Step 4: Simplify right side
    421,634,157.66x = 154,117,610,092,660,672
  5. Step 5: Solve for x
    x = 154,117,610,092,660,672/421,634,157.66
  6. Step 6: Final answer
    x = 365,524,489.16

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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.