Finding the Fourth Proportional to 7,318,266,742,821.60, 10,113,698,257,010 and 5,997,796,175,388
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Solution
The fourth proportional to 7,318,266,742,821.60, 10,113,698,257,010 and 5,997,796,175,388 is: 8,288,834,345,157.40
Step by Step Solution
- Step 1: Write the proportion equation
7,318,266,742,821.60 : 10,113,698,257,010 = 5,997,796,175,388 : x - Step 2: Convert to fraction form
7,318,266,742,821.60/10,113,698,257,010 = 5,997,796,175,388/x - Step 3: Cross multiply
7,318,266,742,821.60x = 10,113,698,257,010 × 5,997,796,175,388 - Step 4: Simplify right side
7,318,266,742,821.60x = 60,659,900,724,922,858,300,506,112 - Step 5: Solve for x
x = 60,659,900,724,922,858,300,506,112/7,318,266,742,821.60 - Step 6: Final answer
x = 8,288,834,345,157.40
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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.