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Finding the Fourth Proportional to 306,110,988,045.90, 459,166,482,068.85 and 306,110,988,045.90

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Solution

The fourth proportional to 306,110,988,045.90, 459,166,482,068.85 and 306,110,988,045.90 is: 459,166,482,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110,988,045.90 : 459,166,482,068.85 = 306,110,988,045.90 : x
  2. Step 2: Convert to fraction form
    306,110,988,045.90/459,166,482,068.85 = 306,110,988,045.90/x
  3. Step 3: Cross multiply
    306,110,988,045.90x = 459,166,482,068.85 × 306,110,988,045.90
  4. Step 4: Simplify right side
    306,110,988,045.90x = 140,555,905,503,655,698,104,320
  5. Step 5: Solve for x
    x = 140,555,905,503,655,698,104,320/306,110,988,045.90
  6. Step 6: Final answer
    x = 459,166,482,068.85

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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.