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Finding the Fourth Proportional to 153,615,436,411.40, 230,423,154,617.10 and 153,615,436,411.40

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Solution

The fourth proportional to 153,615,436,411.40, 230,423,154,617.10 and 153,615,436,411.40 is: 230,423,154,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,615,436,411.40 : 230,423,154,617.10 = 153,615,436,411.40 : x
  2. Step 2: Convert to fraction form
    153,615,436,411.40/230,423,154,617.10 = 153,615,436,411.40/x
  3. Step 3: Cross multiply
    153,615,436,411.40x = 230,423,154,617.10 × 153,615,436,411.40
  4. Step 4: Simplify right side
    153,615,436,411.40x = 35,396,553,455,797,316,616,192
  5. Step 5: Solve for x
    x = 35,396,553,455,797,316,616,192/153,615,436,411.40
  6. Step 6: Final answer
    x = 230,423,154,617.10

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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.