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Finding the Fourth Proportional to 14,486,688,374.60, 21,730,032,561.90 and 14,486,688,374.60

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Solution

The fourth proportional to 14,486,688,374.60, 21,730,032,561.90 and 14,486,688,374.60 is: 21,730,032,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486,688,374.60 : 21,730,032,561.90 = 14,486,688,374.60 : x
  2. Step 2: Convert to fraction form
    14,486,688,374.60/21,730,032,561.90 = 14,486,688,374.60/x
  3. Step 3: Cross multiply
    14,486,688,374.60x = 21,730,032,561.90 × 14,486,688,374.60
  4. Step 4: Simplify right side
    14,486,688,374.60x = 314,796,210,094,156,218,368
  5. Step 5: Solve for x
    x = 314,796,210,094,156,218,368/14,486,688,374.60
  6. Step 6: Final answer
    x = 21,730,032,561.90

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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.