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Finding the Fourth Proportional to 10,456,195,334.70, 14,675,406,670.50 and 10,456,195,334.70

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Solution

The fourth proportional to 10,456,195,334.70, 14,675,406,670.50 and 10,456,195,334.70 is: 14,675,406,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456,195,334.70 : 14,675,406,670.50 = 10,456,195,334.70 : x
  2. Step 2: Convert to fraction form
    10,456,195,334.70/14,675,406,670.50 = 10,456,195,334.70/x
  3. Step 3: Cross multiply
    10,456,195,334.70x = 14,675,406,670.50 × 10,456,195,334.70
  4. Step 4: Simplify right side
    10,456,195,334.70x = 153,448,918,762,907,369,472
  5. Step 5: Solve for x
    x = 153,448,918,762,907,369,472/10,456,195,334.70
  6. Step 6: Final answer
    x = 14,675,406,670.50

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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.