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Finding the Fourth Proportional to 196,298,769,897.60, 294,448,154,846.40 and 196,298,769,897.60

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Solution

The fourth proportional to 196,298,769,897.60, 294,448,154,846.40 and 196,298,769,897.60 is: 294,448,154,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,298,769,897.60 : 294,448,154,846.40 = 196,298,769,897.60 : x
  2. Step 2: Convert to fraction form
    196,298,769,897.60/294,448,154,846.40 = 196,298,769,897.60/x
  3. Step 3: Cross multiply
    196,298,769,897.60x = 294,448,154,846.40 × 196,298,769,897.60
  4. Step 4: Simplify right side
    196,298,769,897.60x = 57,799,810,594,966,371,041,280
  5. Step 5: Solve for x
    x = 57,799,810,594,966,371,041,280/196,298,769,897.60
  6. Step 6: Final answer
    x = 294,448,154,846.40

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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.