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Finding the Fourth Proportional to 471,736,006,037.30, 707,604,009,055.95 and 471,736,006,037.30

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Solution

The fourth proportional to 471,736,006,037.30, 707,604,009,055.95 and 471,736,006,037.30 is: 707,604,009,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,736,006,037.30 : 707,604,009,055.95 = 471,736,006,037.30 : x
  2. Step 2: Convert to fraction form
    471,736,006,037.30/707,604,009,055.95 = 471,736,006,037.30/x
  3. Step 3: Cross multiply
    471,736,006,037.30x = 707,604,009,055.95 × 471,736,006,037.30
  4. Step 4: Simplify right side
    471,736,006,037.30x = 333,802,289,088,035,261,775,872
  5. Step 5: Solve for x
    x = 333,802,289,088,035,261,775,872/471,736,006,037.30
  6. Step 6: Final answer
    x = 707,604,009,055.95

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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.