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Finding the Fourth Proportional to 3,109,156,988.65, 4,663,735,482.98 and 3,109,156,988.65

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Solution

The fourth proportional to 3,109,156,988.65, 4,663,735,482.98 and 3,109,156,988.65 is: 4,663,735,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109,156,988.65 : 4,663,735,482.98 = 3,109,156,988.65 : x
  2. Step 2: Convert to fraction form
    3,109,156,988.65/4,663,735,482.98 = 3,109,156,988.65/x
  3. Step 3: Cross multiply
    3,109,156,988.65x = 4,663,735,482.98 × 3,109,156,988.65
  4. Step 4: Simplify right side
    3,109,156,988.65x = 14,500,285,770,122,248,192
  5. Step 5: Solve for x
    x = 14,500,285,770,122,248,192/3,109,156,988.65
  6. Step 6: Final answer
    x = 4,663,735,482.98

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Double scale
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1.5x scale

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.