Finding the Fourth Proportional to 9,214,159,839.84, 12,724,322,468.58 and 8,712,178,287.53
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Solution
The fourth proportional to 9,214,159,839.84, 12,724,322,468.58 and 8,712,178,287.53 is: 12,031,109,494.64
Step by Step Solution
- Step 1: Write the proportion equation
9,214,159,839.84 : 12,724,322,468.58 = 8,712,178,287.53 : x - Step 2: Convert to fraction form
9,214,159,839.84/12,724,322,468.58 = 8,712,178,287.53/x - Step 3: Cross multiply
9,214,159,839.84x = 12,724,322,468.58 × 8,712,178,287.53 - Step 4: Simplify right side
9,214,159,839.84x = 110,856,565,934,229,176,320 - Step 5: Solve for x
x = 110,856,565,934,229,176,320/9,214,159,839.84 - Step 6: Final answer
x = 12,031,109,494.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.