Finding the Fourth Proportional to 553,537,029,946.08, 830,221,651,438.58 and 150,651,895,414.56
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Solution
The fourth proportional to 553,537,029,946.08, 830,221,651,438.58 and 150,651,895,414.56 is: 225,955,010,481.61
Step by Step Solution
- Step 1: Write the proportion equation
553,537,029,946.08 : 830,221,651,438.58 = 150,651,895,414.56 : x - Step 2: Convert to fraction form
553,537,029,946.08/830,221,651,438.58 = 150,651,895,414.56/x - Step 3: Cross multiply
553,537,029,946.08x = 830,221,651,438.58 × 150,651,895,414.56 - Step 4: Simplify right side
553,537,029,946.08x = 125,074,465,403,428,231,184,384 - Step 5: Solve for x
x = 125,074,465,403,428,231,184,384/553,537,029,946.08 - Step 6: Final answer
x = 225,955,010,481.61
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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.