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Finding the Fourth Proportional to 1,602,403,999.80, 2,403,605,999.70 and 1,457,001,742.20

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Solution

The fourth proportional to 1,602,403,999.80, 2,403,605,999.70 and 1,457,001,742.20 is: 2,185,502,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,403,999.80 : 2,403,605,999.70 = 1,457,001,742.20 : x
  2. Step 2: Convert to fraction form
    1,602,403,999.80/2,403,605,999.70 = 1,457,001,742.20/x
  3. Step 3: Cross multiply
    1,602,403,999.80x = 2,403,605,999.70 × 1,457,001,742.20
  4. Step 4: Simplify right side
    1,602,403,999.80x = 3,502,058,129,125,272,576
  5. Step 5: Solve for x
    x = 3,502,058,129,125,272,576/1,602,403,999.80
  6. Step 6: Final answer
    x = 2,185,502,613.30

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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.