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Finding the Fourth Proportional to 680,506,058.03, 1,020,759,087.04 and 680,506,058.03

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Solution

The fourth proportional to 680,506,058.03, 1,020,759,087.04 and 680,506,058.03 is: 1,020,759,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,506,058.03 : 1,020,759,087.04 = 680,506,058.03 : x
  2. Step 2: Convert to fraction form
    680,506,058.03/1,020,759,087.04 = 680,506,058.03/x
  3. Step 3: Cross multiply
    680,506,058.03x = 1,020,759,087.04 × 680,506,058.03
  4. Step 4: Simplify right side
    680,506,058.03x = 694,632,742,513,086,976
  5. Step 5: Solve for x
    x = 694,632,742,513,086,976/680,506,058.03
  6. Step 6: Final answer
    x = 1,020,759,087.04

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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.