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Finding the Fourth Proportional to 662,710,365,301.90, 994,065,547,952.85 and 662,710,365,301.90

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Solution

The fourth proportional to 662,710,365,301.90, 994,065,547,952.85 and 662,710,365,301.90 is: 994,065,547,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,710,365,301.90 : 994,065,547,952.85 = 662,710,365,301.90 : x
  2. Step 2: Convert to fraction form
    662,710,365,301.90/994,065,547,952.85 = 662,710,365,301.90/x
  3. Step 3: Cross multiply
    662,710,365,301.90x = 994,065,547,952.85 × 662,710,365,301.90
  4. Step 4: Simplify right side
    662,710,365,301.90x = 658,777,542,417,866,595,237,888
  5. Step 5: Solve for x
    x = 658,777,542,417,866,595,237,888/662,710,365,301.90
  6. Step 6: Final answer
    x = 994,065,547,952.85

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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.