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Finding the Fourth Proportional to 707,508,875,101.65, 1,061,263,312,652.50 and 707,508,875,101.65

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Solution

The fourth proportional to 707,508,875,101.65, 1,061,263,312,652.50 and 707,508,875,101.65 is: 1,061,263,312,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,508,875,101.65 : 1,061,263,312,652.50 = 707,508,875,101.65 : x
  2. Step 2: Convert to fraction form
    707,508,875,101.65/1,061,263,312,652.50 = 707,508,875,101.65/x
  3. Step 3: Cross multiply
    707,508,875,101.65x = 1,061,263,312,652.50 × 707,508,875,101.65
  4. Step 4: Simplify right side
    707,508,875,101.65x = 750,853,212,521,421,019,807,744
  5. Step 5: Solve for x
    x = 750,853,212,521,421,019,807,744/707,508,875,101.65
  6. Step 6: Final answer
    x = 1,061,263,312,652.50

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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.