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Finding the Fourth Proportional to 292,253,202,003.60, 438,379,803,005.40 and 292,253,202,003.60

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Solution

The fourth proportional to 292,253,202,003.60, 438,379,803,005.40 and 292,253,202,003.60 is: 438,379,803,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253,202,003.60 : 438,379,803,005.40 = 292,253,202,003.60 : x
  2. Step 2: Convert to fraction form
    292,253,202,003.60/438,379,803,005.40 = 292,253,202,003.60/x
  3. Step 3: Cross multiply
    292,253,202,003.60x = 438,379,803,005.40 × 292,253,202,003.60
  4. Step 4: Simplify right side
    292,253,202,003.60x = 128,117,901,122,035,534,266,368
  5. Step 5: Solve for x
    x = 128,117,901,122,035,534,266,368/292,253,202,003.60
  6. Step 6: Final answer
    x = 438,379,803,005.40

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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.