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Finding the Fourth Proportional to 319,689,032.70, 448,018,142.10 and 319,689,032.70

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Solution

The fourth proportional to 319,689,032.70, 448,018,142.10 and 319,689,032.70 is: 448,018,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689,032.70 : 448,018,142.10 = 319,689,032.70 : x
  2. Step 2: Convert to fraction form
    319,689,032.70/448,018,142.10 = 319,689,032.70/x
  3. Step 3: Cross multiply
    319,689,032.70x = 448,018,142.10 × 319,689,032.70
  4. Step 4: Simplify right side
    319,689,032.70x = 143,226,486,480,000,144
  5. Step 5: Solve for x
    x = 143,226,486,480,000,144/319,689,032.70
  6. Step 6: Final answer
    x = 448,018,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.