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Finding the Fourth Proportional to 289,610,316,998.67, 434,415,475,498.01 and 289,610,316,998.67

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Solution

The fourth proportional to 289,610,316,998.67, 434,415,475,498.01 and 289,610,316,998.67 is: 434,415,475,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,610,316,998.67 : 434,415,475,498.01 = 289,610,316,998.67 : x
  2. Step 2: Convert to fraction form
    289,610,316,998.67/434,415,475,498.01 = 289,610,316,998.67/x
  3. Step 3: Cross multiply
    289,610,316,998.67x = 434,415,475,498.01 × 289,610,316,998.67
  4. Step 4: Simplify right side
    289,610,316,998.67x = 125,811,203,568,106,626,613,248
  5. Step 5: Solve for x
    x = 125,811,203,568,106,626,613,248/289,610,316,998.67
  6. Step 6: Final answer
    x = 434,415,475,498.01

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Double scale
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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.