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Finding the Fourth Proportional to 145,318,784,219.10, 217,978,176,328.65 and 145,318,784,219.10

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Solution

The fourth proportional to 145,318,784,219.10, 217,978,176,328.65 and 145,318,784,219.10 is: 217,978,176,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,318,784,219.10 : 217,978,176,328.65 = 145,318,784,219.10 : x
  2. Step 2: Convert to fraction form
    145,318,784,219.10/217,978,176,328.65 = 145,318,784,219.10/x
  3. Step 3: Cross multiply
    145,318,784,219.10x = 217,978,176,328.65 × 145,318,784,219.10
  4. Step 4: Simplify right side
    145,318,784,219.10x = 31,676,323,570,376,020,852,736
  5. Step 5: Solve for x
    x = 31,676,323,570,376,020,852,736/145,318,784,219.10
  6. Step 6: Final answer
    x = 217,978,176,328.65

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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.