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Finding the Fourth Proportional to 306,235,358,868.60, 459,353,038,302.90 and 306,235,358,868.60

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Solution

The fourth proportional to 306,235,358,868.60, 459,353,038,302.90 and 306,235,358,868.60 is: 459,353,038,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,235,358,868.60 : 459,353,038,302.90 = 306,235,358,868.60 : x
  2. Step 2: Convert to fraction form
    306,235,358,868.60/459,353,038,302.90 = 306,235,358,868.60/x
  3. Step 3: Cross multiply
    306,235,358,868.60x = 459,353,038,302.90 × 306,235,358,868.60
  4. Step 4: Simplify right side
    306,235,358,868.60x = 140,670,142,532,070,341,083,136
  5. Step 5: Solve for x
    x = 140,670,142,532,070,341,083,136/306,235,358,868.60
  6. Step 6: Final answer
    x = 459,353,038,302.90

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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.