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Finding the Fourth Proportional to 710,270,896,735.70, 1,065,406,345,103.50 and 710,270,896,735.70

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Solution

The fourth proportional to 710,270,896,735.70, 1,065,406,345,103.50 and 710,270,896,735.70 is: 1,065,406,345,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,270,896,735.70 : 1,065,406,345,103.50 = 710,270,896,735.70 : x
  2. Step 2: Convert to fraction form
    710,270,896,735.70/1,065,406,345,103.50 = 710,270,896,735.70/x
  3. Step 3: Cross multiply
    710,270,896,735.70x = 1,065,406,345,103.50 × 710,270,896,735.70
  4. Step 4: Simplify right side
    710,270,896,735.70x = 756,727,120,124,567,565,107,200
  5. Step 5: Solve for x
    x = 756,727,120,124,567,565,107,200/710,270,896,735.70
  6. Step 6: Final answer
    x = 1,065,406,345,103.50

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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.