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Finding the Fourth Proportional to 306,170,227,527.60, 459,255,341,291.40 and 306,170,227,527.60

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Solution

The fourth proportional to 306,170,227,527.60, 459,255,341,291.40 and 306,170,227,527.60 is: 459,255,341,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,170,227,527.60 : 459,255,341,291.40 = 306,170,227,527.60 : x
  2. Step 2: Convert to fraction form
    306,170,227,527.60/459,255,341,291.40 = 306,170,227,527.60/x
  3. Step 3: Cross multiply
    306,170,227,527.60x = 459,255,341,291.40 × 306,170,227,527.60
  4. Step 4: Simplify right side
    306,170,227,527.60x = 140,610,312,336,453,532,647,424
  5. Step 5: Solve for x
    x = 140,610,312,336,453,532,647,424/306,170,227,527.60
  6. Step 6: Final answer
    x = 459,255,341,291.40

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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.