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Finding the Fourth Proportional to 423,420,696,101.40, 635,131,044,152.08 and 423,420,696,101.40

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Solution

The fourth proportional to 423,420,696,101.40, 635,131,044,152.08 and 423,420,696,101.40 is: 635,131,044,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,420,696,101.40 : 635,131,044,152.08 = 423,420,696,101.40 : x
  2. Step 2: Convert to fraction form
    423,420,696,101.40/635,131,044,152.08 = 423,420,696,101.40/x
  3. Step 3: Cross multiply
    423,420,696,101.40x = 635,131,044,152.08 × 423,420,696,101.40
  4. Step 4: Simplify right side
    423,420,696,101.40x = 268,927,628,830,482,735,562,752
  5. Step 5: Solve for x
    x = 268,927,628,830,482,735,562,752/423,420,696,101.40
  6. Step 6: Final answer
    x = 635,131,044,152.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.