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Finding the Fourth Proportional to 267,746,898.40, 401,620,347.60 and 186,117,560.80

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Solution

The fourth proportional to 267,746,898.40, 401,620,347.60 and 186,117,560.80 is: 279,176,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,746,898.40 : 401,620,347.60 = 186,117,560.80 : x
  2. Step 2: Convert to fraction form
    267,746,898.40/401,620,347.60 = 186,117,560.80/x
  3. Step 3: Cross multiply
    267,746,898.40x = 401,620,347.60 × 186,117,560.80
  4. Step 4: Simplify right side
    267,746,898.40x = 74,748,599,462,960,144
  5. Step 5: Solve for x
    x = 74,748,599,462,960,144/267,746,898.40
  6. Step 6: Final answer
    x = 279,176,341.20

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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.