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Finding the Fourth Proportional to 215,539,299,000.67, 323,308,948,501.01 and 215,539,299,000.67

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Solution

The fourth proportional to 215,539,299,000.67, 323,308,948,501.01 and 215,539,299,000.67 is: 323,308,948,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,539,299,000.67 : 323,308,948,501.01 = 215,539,299,000.67 : x
  2. Step 2: Convert to fraction form
    215,539,299,000.67/323,308,948,501.01 = 215,539,299,000.67/x
  3. Step 3: Cross multiply
    215,539,299,000.67x = 323,308,948,501.01 × 215,539,299,000.67
  4. Step 4: Simplify right side
    215,539,299,000.67x = 69,685,784,120,551,417,053,184
  5. Step 5: Solve for x
    x = 69,685,784,120,551,417,053,184/215,539,299,000.67
  6. Step 6: Final answer
    x = 323,308,948,501.01

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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.