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Finding the Fourth Proportional to 306,110,988,000.07, 459,166,482,000.15 and 306,110,988,000.07

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Solution

The fourth proportional to 306,110,988,000.07, 459,166,482,000.15 and 306,110,988,000.07 is: 459,166,482,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110,988,000.07 : 459,166,482,000.15 = 306,110,988,000.07 : x
  2. Step 2: Convert to fraction form
    306,110,988,000.07/459,166,482,000.15 = 306,110,988,000.07/x
  3. Step 3: Cross multiply
    306,110,988,000.07x = 459,166,482,000.15 × 306,110,988,000.07
  4. Step 4: Simplify right side
    306,110,988,000.07x = 140,555,905,461,582,282,358,784
  5. Step 5: Solve for x
    x = 140,555,905,461,582,282,358,784/306,110,988,000.07
  6. Step 6: Final answer
    x = 459,166,482,000.15

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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.