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Finding the Fourth Proportional to 290,678,889,788.70, 436,018,334,683.05 and 290,678,889,788.70

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Solution

The fourth proportional to 290,678,889,788.70, 436,018,334,683.05 and 290,678,889,788.70 is: 436,018,334,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,678,889,788.70 : 436,018,334,683.05 = 290,678,889,788.70 : x
  2. Step 2: Convert to fraction form
    290,678,889,788.70/436,018,334,683.05 = 290,678,889,788.70/x
  3. Step 3: Cross multiply
    290,678,889,788.70x = 436,018,334,683.05 × 290,678,889,788.70
  4. Step 4: Simplify right side
    290,678,889,788.70x = 126,741,325,453,186,809,462,784
  5. Step 5: Solve for x
    x = 126,741,325,453,186,809,462,784/290,678,889,788.70
  6. Step 6: Final answer
    x = 436,018,334,683.05

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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.