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Finding the Fourth Proportional to 282,315,456,225.60, 423,473,184,338.40 and 282,315,456,225.60

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Solution

The fourth proportional to 282,315,456,225.60, 423,473,184,338.40 and 282,315,456,225.60 is: 423,473,184,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,315,456,225.60 : 423,473,184,338.40 = 282,315,456,225.60 : x
  2. Step 2: Convert to fraction form
    282,315,456,225.60/423,473,184,338.40 = 282,315,456,225.60/x
  3. Step 3: Cross multiply
    282,315,456,225.60x = 423,473,184,338.40 × 282,315,456,225.60
  4. Step 4: Simplify right side
    282,315,456,225.60x = 119,553,025,235,803,002,896,384
  5. Step 5: Solve for x
    x = 119,553,025,235,803,002,896,384/282,315,456,225.60
  6. Step 6: Final answer
    x = 423,473,184,338.40

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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.