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Finding the Fourth Proportional to 102,410,648,999.55, 153,409,349,238.53 and 102,410,648,999.55

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Solution

The fourth proportional to 102,410,648,999.55, 153,409,349,238.53 and 102,410,648,999.55 is: 153,409,349,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410,648,999.55 : 153,409,349,238.53 = 102,410,648,999.55 : x
  2. Step 2: Convert to fraction form
    102,410,648,999.55/153,409,349,238.53 = 102,410,648,999.55/x
  3. Step 3: Cross multiply
    102,410,648,999.55x = 153,409,349,238.53 × 102,410,648,999.55
  4. Step 4: Simplify right side
    102,410,648,999.55x = 15,710,751,018,116,479,713,280
  5. Step 5: Solve for x
    x = 15,710,751,018,116,479,713,280/102,410,648,999.55
  6. Step 6: Final answer
    x = 153,409,349,238.53

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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.