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Finding the Fourth Proportional to 699,196,211.70, 977,060,711.10 and 699,196,211.70

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Solution

The fourth proportional to 699,196,211.70, 977,060,711.10 and 699,196,211.70 is: 977,060,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,196,211.70 : 977,060,711.10 = 699,196,211.70 : x
  2. Step 2: Convert to fraction form
    699,196,211.70/977,060,711.10 = 699,196,211.70/x
  3. Step 3: Cross multiply
    699,196,211.70x = 977,060,711.10 × 699,196,211.70
  4. Step 4: Simplify right side
    699,196,211.70x = 683,157,147,802,028,160
  5. Step 5: Solve for x
    x = 683,157,147,802,028,160/699,196,211.70
  6. Step 6: Final answer
    x = 977,060,711.10

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Double scale
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1.5x scale

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.