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Finding the Fourth Proportional to 298,950,807.60, 448,426,211.40 and 280,775,525.40

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Solution

The fourth proportional to 298,950,807.60, 448,426,211.40 and 280,775,525.40 is: 421,163,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,950,807.60 : 448,426,211.40 = 280,775,525.40 : x
  2. Step 2: Convert to fraction form
    298,950,807.60/448,426,211.40 = 280,775,525.40/x
  3. Step 3: Cross multiply
    298,950,807.60x = 448,426,211.40 × 280,775,525.40
  4. Step 4: Simplify right side
    298,950,807.60x = 125,907,105,108,966,448
  5. Step 5: Solve for x
    x = 125,907,105,108,966,448/298,950,807.60
  6. Step 6: Final answer
    x = 421,163,288.10

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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.