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Finding the Fourth Proportional to 168,006,406,500.30, 252,009,609,750.45 and 168,006,406,500.30

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Solution

The fourth proportional to 168,006,406,500.30, 252,009,609,750.45 and 168,006,406,500.30 is: 252,009,609,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,006,406,500.30 : 252,009,609,750.45 = 168,006,406,500.30 : x
  2. Step 2: Convert to fraction form
    168,006,406,500.30/252,009,609,750.45 = 168,006,406,500.30/x
  3. Step 3: Cross multiply
    168,006,406,500.30x = 252,009,609,750.45 × 168,006,406,500.30
  4. Step 4: Simplify right side
    168,006,406,500.30x = 42,339,228,937,716,066,418,688
  5. Step 5: Solve for x
    x = 42,339,228,937,716,066,418,688/168,006,406,500.30
  6. Step 6: Final answer
    x = 252,009,609,750.45

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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.