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Finding the Fourth Proportional to 1,297,500,444.16, 1,790,457,656.68 and 761,673,865.71

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Solution

The fourth proportional to 1,297,500,444.16, 1,790,457,656.68 and 761,673,865.71 is: 1,051,055,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,500,444.16 : 1,790,457,656.68 = 761,673,865.71 : x
  2. Step 2: Convert to fraction form
    1,297,500,444.16/1,790,457,656.68 = 761,673,865.71/x
  3. Step 3: Cross multiply
    1,297,500,444.16x = 1,790,457,656.68 × 761,673,865.71
  4. Step 4: Simplify right side
    1,297,500,444.16x = 1,363,744,804,753,523,712
  5. Step 5: Solve for x
    x = 1,363,744,804,753,523,712/1,297,500,444.16
  6. Step 6: Final answer
    x = 1,051,055,366.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.