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Finding the Fourth Proportional to 178,675,894.40, 268,013,841.60 and 160,536,041.60

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Solution

The fourth proportional to 178,675,894.40, 268,013,841.60 and 160,536,041.60 is: 240,804,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,675,894.40 : 268,013,841.60 = 160,536,041.60 : x
  2. Step 2: Convert to fraction form
    178,675,894.40/268,013,841.60 = 160,536,041.60/x
  3. Step 3: Cross multiply
    178,675,894.40x = 268,013,841.60 × 160,536,041.60
  4. Step 4: Simplify right side
    178,675,894.40x = 43,025,881,224,473,408
  5. Step 5: Solve for x
    x = 43,025,881,224,473,408/178,675,894.40
  6. Step 6: Final answer
    x = 240,804,062.40

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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.