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Finding the Fourth Proportional to 524,806,370.91, 787,212,499.16 and 175,051,478.64

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Solution

The fourth proportional to 524,806,370.91, 787,212,499.16 and 175,051,478.64 is: 262,578,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,806,370.91 : 787,212,499.16 = 175,051,478.64 : x
  2. Step 2: Convert to fraction form
    524,806,370.91/787,212,499.16 = 175,051,478.64/x
  3. Step 3: Cross multiply
    524,806,370.91x = 787,212,499.16 × 175,051,478.64
  4. Step 4: Simplify right side
    524,806,370.91x = 137,802,711,980,972,480
  5. Step 5: Solve for x
    x = 137,802,711,980,972,480/524,806,370.91
  6. Step 6: Final answer
    x = 262,578,199.54

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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.