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Finding the Fourth Proportional to 153,223,261,372.80, 229,834,892,059.20 and 153,223,261,372.80

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Solution

The fourth proportional to 153,223,261,372.80, 229,834,892,059.20 and 153,223,261,372.80 is: 229,834,892,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,223,261,372.80 : 229,834,892,059.20 = 153,223,261,372.80 : x
  2. Step 2: Convert to fraction form
    153,223,261,372.80/229,834,892,059.20 = 153,223,261,372.80/x
  3. Step 3: Cross multiply
    153,223,261,372.80x = 229,834,892,059.20 × 153,223,261,372.80
  4. Step 4: Simplify right side
    153,223,261,372.80x = 35,216,051,738,576,076,931,072
  5. Step 5: Solve for x
    x = 35,216,051,738,576,076,931,072/153,223,261,372.80
  6. Step 6: Final answer
    x = 229,834,892,059.20

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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.