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Finding the Fourth Proportional to 471,639,969.30, 707,459,953.95 and 471,639,969.30

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Solution

The fourth proportional to 471,639,969.30, 707,459,953.95 and 471,639,969.30 is: 707,459,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,639,969.30 : 707,459,953.95 = 471,639,969.30 : x
  2. Step 2: Convert to fraction form
    471,639,969.30/707,459,953.95 = 471,639,969.30/x
  3. Step 3: Cross multiply
    471,639,969.30x = 707,459,953.95 × 471,639,969.30
  4. Step 4: Simplify right side
    471,639,969.30x = 333,666,390,961,957,440
  5. Step 5: Solve for x
    x = 333,666,390,961,957,440/471,639,969.30
  6. Step 6: Final answer
    x = 707,459,953.95

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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.