Finding the Fourth Proportional to 34,506,742,481,262, 47,620,801,502,100 and 19,109,102,566,446
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Solution
The fourth proportional to 34,506,742,481,262, 47,620,801,502,100 and 19,109,102,566,446 is: 26,371,390,480,980.40
Step by Step Solution
- Step 1: Write the proportion equation
34,506,742,481,262 : 47,620,801,502,100 = 19,109,102,566,446 : x - Step 2: Convert to fraction form
34,506,742,481,262/47,620,801,502,100 = 19,109,102,566,446/x - Step 3: Cross multiply
34,506,742,481,262x = 47,620,801,502,100 × 19,109,102,566,446 - Step 4: Simplify right side
34,506,742,481,262x = 909,990,780,199,994,595,395,764,224 - Step 5: Solve for x
x = 909,990,780,199,994,595,395,764,224/34,506,742,481,262 - Step 6: Final answer
x = 26,371,390,480,980.40
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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.