Finding the Fourth Proportional to 7,686,312,668,073, 10,607,417,299,620 and 4,218,055,896,402.20
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Solution
The fourth proportional to 7,686,312,668,073, 10,607,417,299,620 and 4,218,055,896,402.20 is: 5,821,084,962,118.52
Step by Step Solution
- Step 1: Write the proportion equation
7,686,312,668,073 : 10,607,417,299,620 = 4,218,055,896,402.20 : x - Step 2: Convert to fraction form
7,686,312,668,073/10,607,417,299,620 = 4,218,055,896,402.20/x - Step 3: Cross multiply
7,686,312,668,073x = 10,607,417,299,620 × 4,218,055,896,402.20 - Step 4: Simplify right side
7,686,312,668,073x = 44,742,679,086,260,845,096,730,624 - Step 5: Solve for x
x = 44,742,679,086,260,845,096,730,624/7,686,312,668,073 - Step 6: Final answer
x = 5,821,084,962,118.52
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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.