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Finding the Fourth Proportional to 680,465,903.40, 1,020,698,855.10 and 680,465,903.40

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Solution

The fourth proportional to 680,465,903.40, 1,020,698,855.10 and 680,465,903.40 is: 1,020,698,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,465,903.40 : 1,020,698,855.10 = 680,465,903.40 : x
  2. Step 2: Convert to fraction form
    680,465,903.40/1,020,698,855.10 = 680,465,903.40/x
  3. Step 3: Cross multiply
    680,465,903.40x = 1,020,698,855.10 × 680,465,903.40
  4. Step 4: Simplify right side
    680,465,903.40x = 694,550,768,534,967,168
  5. Step 5: Solve for x
    x = 694,550,768,534,967,168/680,465,903.40
  6. Step 6: Final answer
    x = 1,020,698,855.10

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1.5x scale

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.