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Finding the Fourth Proportional to 366,380,712,000.10, 549,571,068,000.15 and 366,380,712,000.10

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Solution

The fourth proportional to 366,380,712,000.10, 549,571,068,000.15 and 366,380,712,000.10 is: 549,571,068,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,380,712,000.10 : 549,571,068,000.15 = 366,380,712,000.10 : x
  2. Step 2: Convert to fraction form
    366,380,712,000.10/549,571,068,000.15 = 366,380,712,000.10/x
  3. Step 3: Cross multiply
    366,380,712,000.10x = 549,571,068,000.15 × 366,380,712,000.10
  4. Step 4: Simplify right side
    366,380,712,000.10x = 201,352,239,188,550,331,924,480
  5. Step 5: Solve for x
    x = 201,352,239,188,550,331,924,480/366,380,712,000.10
  6. Step 6: Final answer
    x = 549,571,068,000.15

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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.