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Finding the Fourth Proportional to 292,159,780,212.45, 438,239,670,318.69 and 292,159,780,212.45

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Solution

The fourth proportional to 292,159,780,212.45, 438,239,670,318.69 and 292,159,780,212.45 is: 438,239,670,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,780,212.45 : 438,239,670,318.69 = 292,159,780,212.45 : x
  2. Step 2: Convert to fraction form
    292,159,780,212.45/438,239,670,318.69 = 292,159,780,212.45/x
  3. Step 3: Cross multiply
    292,159,780,212.45x = 438,239,670,318.69 × 292,159,780,212.45
  4. Step 4: Simplify right side
    292,159,780,212.45x = 128,036,005,760,685,031,030,784
  5. Step 5: Solve for x
    x = 128,036,005,760,685,031,030,784/292,159,780,212.45
  6. Step 6: Final answer
    x = 438,239,670,318.69

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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.