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Finding the Fourth Proportional to 620,172,289,663.60, 930,258,434,495.40 and 620,172,289,663.60

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Solution

The fourth proportional to 620,172,289,663.60, 930,258,434,495.40 and 620,172,289,663.60 is: 930,258,434,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,172,289,663.60 : 930,258,434,495.40 = 620,172,289,663.60 : x
  2. Step 2: Convert to fraction form
    620,172,289,663.60/930,258,434,495.40 = 620,172,289,663.60/x
  3. Step 3: Cross multiply
    620,172,289,663.60x = 930,258,434,495.40 × 620,172,289,663.60
  4. Step 4: Simplify right side
    620,172,289,663.60x = 576,920,503,299,888,283,385,856
  5. Step 5: Solve for x
    x = 576,920,503,299,888,283,385,856/620,172,289,663.60
  6. Step 6: Final answer
    x = 930,258,434,495.40

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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.