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Finding the Fourth Proportional to 292,159,777,748.70, 438,239,666,623.11 and 292,159,777,748.70

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Solution

The fourth proportional to 292,159,777,748.70, 438,239,666,623.11 and 292,159,777,748.70 is: 438,239,666,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,777,748.70 : 438,239,666,623.11 = 292,159,777,748.70 : x
  2. Step 2: Convert to fraction form
    292,159,777,748.70/438,239,666,623.11 = 292,159,777,748.70/x
  3. Step 3: Cross multiply
    292,159,777,748.70x = 438,239,666,623.11 × 292,159,777,748.70
  4. Step 4: Simplify right side
    292,159,777,748.70x = 128,036,003,601,272,195,252,224
  5. Step 5: Solve for x
    x = 128,036,003,601,272,195,252,224/292,159,777,748.70
  6. Step 6: Final answer
    x = 438,239,666,623.11

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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.