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Finding the Fourth Proportional to 1,709,710,659.90, 2,359,409,445.54 and 967,138,779.42

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Solution

The fourth proportional to 1,709,710,659.90, 2,359,409,445.54 and 967,138,779.42 is: 1,334,656,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,710,659.90 : 2,359,409,445.54 = 967,138,779.42 : x
  2. Step 2: Convert to fraction form
    1,709,710,659.90/2,359,409,445.54 = 967,138,779.42/x
  3. Step 3: Cross multiply
    1,709,710,659.90x = 2,359,409,445.54 × 967,138,779.42
  4. Step 4: Simplify right side
    1,709,710,659.90x = 2,281,876,371,311,574,528
  5. Step 5: Solve for x
    x = 2,281,876,371,311,574,528/1,709,710,659.90
  6. Step 6: Final answer
    x = 1,334,656,456.69

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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.