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Finding the Fourth Proportional to 595,698,715.40, 893,576,066.70 and 186,768,206.60

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Solution

The fourth proportional to 595,698,715.40, 893,576,066.70 and 186,768,206.60 is: 280,161,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,698,715.40 : 893,576,066.70 = 186,768,206.60 : x
  2. Step 2: Convert to fraction form
    595,698,715.40/893,576,066.70 = 186,768,206.60/x
  3. Step 3: Cross multiply
    595,698,715.40x = 893,576,066.70 × 186,768,206.60
  4. Step 4: Simplify right side
    595,698,715.40x = 166,891,599,438,240,992
  5. Step 5: Solve for x
    x = 166,891,599,438,240,992/595,698,715.40
  6. Step 6: Final answer
    x = 280,161,086.68

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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.