Finding the Fourth Proportional to 65,237,753,584,440, 90,145,863,909,580 and 46,454,739,251,126
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Solution
The fourth proportional to 65,237,753,584,440, 90,145,863,909,580 and 46,454,739,251,126 is: 64,191,397,962,020.67
Step by Step Solution
- Step 1: Write the proportion equation
65,237,753,584,440 : 90,145,863,909,580 = 46,454,739,251,126 : x - Step 2: Convert to fraction form
65,237,753,584,440/90,145,863,909,580 = 46,454,739,251,126/x - Step 3: Cross multiply
65,237,753,584,440x = 90,145,863,909,580 × 46,454,739,251,126 - Step 4: Simplify right side
65,237,753,584,440x = 4,187,702,602,487,028,570,986,119,168 - Step 5: Solve for x
x = 4,187,702,602,487,028,570,986,119,168/65,237,753,584,440 - Step 6: Final answer
x = 64,191,397,962,020.67
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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.