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Finding the Fourth Proportional to 699,196,186.20, 977,060,675.40 and 699,196,186.20

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Solution

The fourth proportional to 699,196,186.20, 977,060,675.40 and 699,196,186.20 is: 977,060,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,196,186.20 : 977,060,675.40 = 699,196,186.20 : x
  2. Step 2: Convert to fraction form
    699,196,186.20/977,060,675.40 = 699,196,186.20/x
  3. Step 3: Cross multiply
    699,196,186.20x = 977,060,675.40 × 699,196,186.20
  4. Step 4: Simplify right side
    699,196,186.20x = 683,157,097,925,676,160
  5. Step 5: Solve for x
    x = 683,157,097,925,676,160/699,196,186.20
  6. Step 6: Final answer
    x = 977,060,675.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.