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Finding the Fourth Proportional to 601,070,854,501.80, 901,606,281,752.70 and 601,070,854,501.80

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Solution

The fourth proportional to 601,070,854,501.80, 901,606,281,752.70 and 601,070,854,501.80 is: 901,606,281,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,854,501.80 : 901,606,281,752.70 = 601,070,854,501.80 : x
  2. Step 2: Convert to fraction form
    601,070,854,501.80/901,606,281,752.70 = 601,070,854,501.80/x
  3. Step 3: Cross multiply
    601,070,854,501.80x = 901,606,281,752.70 × 601,070,854,501.80
  4. Step 4: Simplify right side
    601,070,854,501.80x = 541,929,258,197,286,066,847,744
  5. Step 5: Solve for x
    x = 541,929,258,197,286,066,847,744/601,070,854,501.80
  6. Step 6: Final answer
    x = 901,606,281,752.70

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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.