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Finding the Fourth Proportional to 243,247,963,409.60, 364,871,945,114.40 and 243,247,963,409.60

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Solution

The fourth proportional to 243,247,963,409.60, 364,871,945,114.40 and 243,247,963,409.60 is: 364,871,945,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,247,963,409.60 : 364,871,945,114.40 = 243,247,963,409.60 : x
  2. Step 2: Convert to fraction form
    243,247,963,409.60/364,871,945,114.40 = 243,247,963,409.60/x
  3. Step 3: Cross multiply
    243,247,963,409.60x = 364,871,945,114.40 × 243,247,963,409.60
  4. Step 4: Simplify right side
    243,247,963,409.60x = 88,754,357,554,377,159,344,128
  5. Step 5: Solve for x
    x = 88,754,357,554,377,159,344,128/243,247,963,409.60
  6. Step 6: Final answer
    x = 364,871,945,114.40

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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.