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Finding the Fourth Proportional to 224,009,032,246.90, 336,013,548,370.35 and 224,009,032,246.90

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Solution

The fourth proportional to 224,009,032,246.90, 336,013,548,370.35 and 224,009,032,246.90 is: 336,013,548,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,009,032,246.90 : 336,013,548,370.35 = 224,009,032,246.90 : x
  2. Step 2: Convert to fraction form
    224,009,032,246.90/336,013,548,370.35 = 224,009,032,246.90/x
  3. Step 3: Cross multiply
    224,009,032,246.90x = 336,013,548,370.35 × 224,009,032,246.90
  4. Step 4: Simplify right side
    224,009,032,246.90x = 75,270,069,792,289,020,968,960
  5. Step 5: Solve for x
    x = 75,270,069,792,289,020,968,960/224,009,032,246.90
  6. Step 6: Final answer
    x = 336,013,548,370.35

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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.