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Finding the Fourth Proportional to 292,253,202,000.10, 438,379,803,000.15 and 292,253,202,000.10

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Solution

The fourth proportional to 292,253,202,000.10, 438,379,803,000.15 and 292,253,202,000.10 is: 438,379,803,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253,202,000.10 : 438,379,803,000.15 = 292,253,202,000.10 : x
  2. Step 2: Convert to fraction form
    292,253,202,000.10/438,379,803,000.15 = 292,253,202,000.10/x
  3. Step 3: Cross multiply
    292,253,202,000.10x = 438,379,803,000.15 × 292,253,202,000.10
  4. Step 4: Simplify right side
    292,253,202,000.10x = 128,117,901,118,966,880,796,672
  5. Step 5: Solve for x
    x = 128,117,901,118,966,880,796,672/292,253,202,000.10
  6. Step 6: Final answer
    x = 438,379,803,000.15

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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.