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Finding the Fourth Proportional to 640,210,279.40, 898,713,038.20 and 640,210,279.40

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Solution

The fourth proportional to 640,210,279.40, 898,713,038.20 and 640,210,279.40 is: 898,713,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,210,279.40 : 898,713,038.20 = 640,210,279.40 : x
  2. Step 2: Convert to fraction form
    640,210,279.40/898,713,038.20 = 640,210,279.40/x
  3. Step 3: Cross multiply
    640,210,279.40x = 898,713,038.20 × 640,210,279.40
  4. Step 4: Simplify right side
    640,210,279.40x = 575,365,325,286,444,864
  5. Step 5: Solve for x
    x = 575,365,325,286,444,864/640,210,279.40
  6. Step 6: Final answer
    x = 898,713,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.