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Finding the Fourth Proportional to 224,009,032,223.40, 336,013,548,335.10 and 224,009,032,223.40

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Solution

The fourth proportional to 224,009,032,223.40, 336,013,548,335.10 and 224,009,032,223.40 is: 336,013,548,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,009,032,223.40 : 336,013,548,335.10 = 224,009,032,223.40 : x
  2. Step 2: Convert to fraction form
    224,009,032,223.40/336,013,548,335.10 = 224,009,032,223.40/x
  3. Step 3: Cross multiply
    224,009,032,223.40x = 336,013,548,335.10 × 224,009,032,223.40
  4. Step 4: Simplify right side
    224,009,032,223.40x = 75,270,069,776,496,384,278,528
  5. Step 5: Solve for x
    x = 75,270,069,776,496,384,278,528/224,009,032,223.40
  6. Step 6: Final answer
    x = 336,013,548,335.10

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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.