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Finding the Fourth Proportional to 177,116,868,000.45, 265,675,302,000.67 and 177,116,868,000.45

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Solution

The fourth proportional to 177,116,868,000.45, 265,675,302,000.67 and 177,116,868,000.45 is: 265,675,302,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,116,868,000.45 : 265,675,302,000.67 = 177,116,868,000.45 : x
  2. Step 2: Convert to fraction form
    177,116,868,000.45/265,675,302,000.67 = 177,116,868,000.45/x
  3. Step 3: Cross multiply
    177,116,868,000.45x = 265,675,302,000.67 × 177,116,868,000.45
  4. Step 4: Simplify right side
    177,116,868,000.45x = 47,055,577,395,432,366,538,752
  5. Step 5: Solve for x
    x = 47,055,577,395,432,366,538,752/177,116,868,000.45
  6. Step 6: Final answer
    x = 265,675,302,000.67

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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.