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Finding the Fourth Proportional to 802,357,698.30, 1,121,004,952.50 and 802,357,698.30

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Solution

The fourth proportional to 802,357,698.30, 1,121,004,952.50 and 802,357,698.30 is: 1,121,004,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,357,698.30 : 1,121,004,952.50 = 802,357,698.30 : x
  2. Step 2: Convert to fraction form
    802,357,698.30/1,121,004,952.50 = 802,357,698.30/x
  3. Step 3: Cross multiply
    802,357,698.30x = 1,121,004,952.50 × 802,357,698.30
  4. Step 4: Simplify right side
    802,357,698.30x = 899,446,953,470,800,768
  5. Step 5: Solve for x
    x = 899,446,953,470,800,768/802,357,698.30
  6. Step 6: Final answer
    x = 1,121,004,952.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.