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Finding the Fourth Proportional to 420,012,019.80, 630,018,029.70 and 274,893,197.40

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Solution

The fourth proportional to 420,012,019.80, 630,018,029.70 and 274,893,197.40 is: 412,339,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,012,019.80 : 630,018,029.70 = 274,893,197.40 : x
  2. Step 2: Convert to fraction form
    420,012,019.80/630,018,029.70 = 274,893,197.40/x
  3. Step 3: Cross multiply
    420,012,019.80x = 630,018,029.70 × 274,893,197.40
  4. Step 4: Simplify right side
    420,012,019.80x = 173,187,670,603,881,152
  5. Step 5: Solve for x
    x = 173,187,670,603,881,152/420,012,019.80
  6. Step 6: Final answer
    x = 412,339,796.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.