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Finding the Fourth Proportional to 140,675,345.60, 211,013,018.40 and 140,675,345.60

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Solution

The fourth proportional to 140,675,345.60, 211,013,018.40 and 140,675,345.60 is: 211,013,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,675,345.60 : 211,013,018.40 = 140,675,345.60 : x
  2. Step 2: Convert to fraction form
    140,675,345.60/211,013,018.40 = 140,675,345.60/x
  3. Step 3: Cross multiply
    140,675,345.60x = 211,013,018.40 × 140,675,345.60
  4. Step 4: Simplify right side
    140,675,345.60x = 29,684,329,289,519,160
  5. Step 5: Solve for x
    x = 29,684,329,289,519,160/140,675,345.60
  6. Step 6: Final answer
    x = 211,013,018.40

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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.