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Finding the Fourth Proportional to 30,497,958,010.70, 45,746,937,016.05 and 30,497,958,010.70

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Solution

The fourth proportional to 30,497,958,010.70, 45,746,937,016.05 and 30,497,958,010.70 is: 45,746,937,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497,958,010.70 : 45,746,937,016.05 = 30,497,958,010.70 : x
  2. Step 2: Convert to fraction form
    30,497,958,010.70/45,746,937,016.05 = 30,497,958,010.70/x
  3. Step 3: Cross multiply
    30,497,958,010.70x = 45,746,937,016.05 × 30,497,958,010.70
  4. Step 4: Simplify right side
    30,497,958,010.70x = 1,395,188,164,233,630,580,736
  5. Step 5: Solve for x
    x = 1,395,188,164,233,630,580,736/30,497,958,010.70
  6. Step 6: Final answer
    x = 45,746,937,016.05

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1.5x scale

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.