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Finding the Fourth Proportional to 99,494,868,047.40, 149,242,302,071.10 and 99,494,868,047.40

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Solution

The fourth proportional to 99,494,868,047.40, 149,242,302,071.10 and 99,494,868,047.40 is: 149,242,302,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,494,868,047.40 : 149,242,302,071.10 = 99,494,868,047.40 : x
  2. Step 2: Convert to fraction form
    99,494,868,047.40/149,242,302,071.10 = 99,494,868,047.40/x
  3. Step 3: Cross multiply
    99,494,868,047.40x = 149,242,302,071.10 × 99,494,868,047.40
  4. Step 4: Simplify right side
    99,494,868,047.40x = 14,848,843,151,654,306,971,648
  5. Step 5: Solve for x
    x = 14,848,843,151,654,306,971,648/99,494,868,047.40
  6. Step 6: Final answer
    x = 149,242,302,071.10

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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.