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Finding the Fourth Proportional to 602,447,426,211.60, 903,671,139,317.40 and 602,447,426,211.60

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Solution

The fourth proportional to 602,447,426,211.60, 903,671,139,317.40 and 602,447,426,211.60 is: 903,671,139,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,447,426,211.60 : 903,671,139,317.40 = 602,447,426,211.60 : x
  2. Step 2: Convert to fraction form
    602,447,426,211.60/903,671,139,317.40 = 602,447,426,211.60/x
  3. Step 3: Cross multiply
    602,447,426,211.60x = 903,671,139,317.40 × 602,447,426,211.60
  4. Step 4: Simplify right side
    602,447,426,211.60x = 544,414,352,023,471,851,044,864
  5. Step 5: Solve for x
    x = 544,414,352,023,471,851,044,864/602,447,426,211.60
  6. Step 6: Final answer
    x = 903,671,139,317.40

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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.