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Finding the Fourth Proportional to 294,448,154,838.40, 441,672,232,257.60 and 294,448,154,838.40

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Solution

The fourth proportional to 294,448,154,838.40, 441,672,232,257.60 and 294,448,154,838.40 is: 441,672,232,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,448,154,838.40 : 441,672,232,257.60 = 294,448,154,838.40 : x
  2. Step 2: Convert to fraction form
    294,448,154,838.40/441,672,232,257.60 = 294,448,154,838.40/x
  3. Step 3: Cross multiply
    294,448,154,838.40x = 441,672,232,257.60 × 294,448,154,838.40
  4. Step 4: Simplify right side
    294,448,154,838.40x = 130,049,573,831,607,578,525,696
  5. Step 5: Solve for x
    x = 130,049,573,831,607,578,525,696/294,448,154,838.40
  6. Step 6: Final answer
    x = 441,672,232,257.60

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1.5x scale

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.