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Finding the Fourth Proportional to 549,857,872,868.40, 824,786,809,302.60 and 549,857,872,868.40

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Solution

The fourth proportional to 549,857,872,868.40, 824,786,809,302.60 and 549,857,872,868.40 is: 824,786,809,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,857,872,868.40 : 824,786,809,302.60 = 549,857,872,868.40 : x
  2. Step 2: Convert to fraction form
    549,857,872,868.40/824,786,809,302.60 = 549,857,872,868.40/x
  3. Step 3: Cross multiply
    549,857,872,868.40x = 824,786,809,302.60 × 549,857,872,868.40
  4. Step 4: Simplify right side
    549,857,872,868.40x = 453,515,520,533,042,309,365,760
  5. Step 5: Solve for x
    x = 453,515,520,533,042,309,365,760/549,857,872,868.40
  6. Step 6: Final answer
    x = 824,786,809,302.60

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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.