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Finding the Fourth Proportional to 292,159,777,664.70, 438,239,666,497.05 and 292,159,777,664.70

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Solution

The fourth proportional to 292,159,777,664.70, 438,239,666,497.05 and 292,159,777,664.70 is: 438,239,666,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,777,664.70 : 438,239,666,497.05 = 292,159,777,664.70 : x
  2. Step 2: Convert to fraction form
    292,159,777,664.70/438,239,666,497.05 = 292,159,777,664.70/x
  3. Step 3: Cross multiply
    292,159,777,664.70x = 438,239,666,497.05 × 292,159,777,664.70
  4. Step 4: Simplify right side
    292,159,777,664.70x = 128,036,003,527,630,400,782,336
  5. Step 5: Solve for x
    x = 128,036,003,527,630,400,782,336/292,159,777,664.70
  6. Step 6: Final answer
    x = 438,239,666,497.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.