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Finding the Fourth Proportional to 524,169,883.82, 723,369,580.06 and 289,235,673.47

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Solution

The fourth proportional to 524,169,883.82, 723,369,580.06 and 289,235,673.47 is: 399,153,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,169,883.82 : 723,369,580.06 = 289,235,673.47 : x
  2. Step 2: Convert to fraction form
    524,169,883.82/723,369,580.06 = 289,235,673.47/x
  3. Step 3: Cross multiply
    524,169,883.82x = 723,369,580.06 × 289,235,673.47
  4. Step 4: Simplify right side
    524,169,883.82x = 209,224,287,656,365,184
  5. Step 5: Solve for x
    x = 209,224,287,656,365,184/524,169,883.82
  6. Step 6: Final answer
    x = 399,153,583.82

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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.