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Finding the Fourth Proportional to 99,012,970,368.45, 148,519,455,552.67 and 99,012,970,368.45

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Solution

The fourth proportional to 99,012,970,368.45, 148,519,455,552.67 and 99,012,970,368.45 is: 148,519,455,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012,970,368.45 : 148,519,455,552.67 = 99,012,970,368.45 : x
  2. Step 2: Convert to fraction form
    99,012,970,368.45/148,519,455,552.67 = 99,012,970,368.45/x
  3. Step 3: Cross multiply
    99,012,970,368.45x = 148,519,455,552.67 × 99,012,970,368.45
  4. Step 4: Simplify right side
    99,012,970,368.45x = 14,705,352,451,774,843,191,296
  5. Step 5: Solve for x
    x = 14,705,352,451,774,843,191,296/99,012,970,368.45
  6. Step 6: Final answer
    x = 148,519,455,552.67

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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.