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Finding the Fourth Proportional to 306,110,988,000.90, 459,166,482,001.35 and 306,110,988,000.90

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Solution

The fourth proportional to 306,110,988,000.90, 459,166,482,001.35 and 306,110,988,000.90 is: 459,166,482,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110,988,000.90 : 459,166,482,001.35 = 306,110,988,000.90 : x
  2. Step 2: Convert to fraction form
    306,110,988,000.90/459,166,482,001.35 = 306,110,988,000.90/x
  3. Step 3: Cross multiply
    306,110,988,000.90x = 459,166,482,001.35 × 306,110,988,000.90
  4. Step 4: Simplify right side
    306,110,988,000.90x = 140,555,905,462,330,713,964,544
  5. Step 5: Solve for x
    x = 140,555,905,462,330,713,964,544/306,110,988,000.90
  6. Step 6: Final answer
    x = 459,166,482,001.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.